Home / 206,710-310,065

Finding the Third Proportional to 206,710 and 310,065

Calculator

Solution

The third proportional to 206,710 and 310,065 is: 465,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,710 : 310,065 = 310,065 : x
  2. Step 2: Convert to fraction form
    206,710/310,065 = 310,065/x
  3. Step 3: Cross multiply
    206,710x = 310,065 × 310,065
  4. Step 4: Simplify right side
    206,710x = 96,140,304,225
  5. Step 5: Solve for x
    x = 96,140,304,225/206,710
  6. Step 6: Final answer
    x = 465,097.50

Related Problems

Find third proportional to 103,355 and 155,032.50
Half scale
Find third proportional to 413,420 and 620,130
Double scale
Find third proportional to 206,712 and 310,068
Similar ratio
Find third proportional to 310,065 and 465,097.50
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.