Home / 310,065-465,097.50

Finding the Third Proportional to 310,065 and 465,097.50

Calculator

Solution

The third proportional to 310,065 and 465,097.50 is: 697,646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,065 : 465,097.50 = 465,097.50 : x
  2. Step 2: Convert to fraction form
    310,065/465,097.50 = 465,097.50/x
  3. Step 3: Cross multiply
    310,065x = 465,097.50 × 465,097.50
  4. Step 4: Simplify right side
    310,065x = 216,315,684,506.25
  5. Step 5: Solve for x
    x = 216,315,684,506.25/310,065
  6. Step 6: Final answer
    x = 697,646.25

Related Problems

Find third proportional to 155,032.50 and 232,548.75
Half scale
Find third proportional to 620,130 and 930,195
Double scale
Find third proportional to 310,067 and 465,101
Similar ratio
Find third proportional to 465,097.50 and 697,646.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.