Home / 307,141-465,009

Finding the Third Proportional to 307,141 and 465,009

Calculator

Solution

The third proportional to 307,141 and 465,009 is: 704,019.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,141 : 465,009 = 465,009 : x
  2. Step 2: Convert to fraction form
    307,141/465,009 = 465,009/x
  3. Step 3: Cross multiply
    307,141x = 465,009 × 465,009
  4. Step 4: Simplify right side
    307,141x = 216,233,370,081
  5. Step 5: Solve for x
    x = 216,233,370,081/307,141
  6. Step 6: Final answer
    x = 704,019.88

Related Problems

Find third proportional to 153,570.50 and 232,504.50
Half scale
Find third proportional to 614,282 and 930,018
Double scale
Find third proportional to 307,143 and 465,012
Similar ratio
Find third proportional to 460,711.50 and 697,513.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.