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Finding the Third Proportional to 420,712 and 631,260

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Solution

The third proportional to 420,712 and 631,260 is: 947,178.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,712 : 631,260 = 631,260 : x
  2. Step 2: Convert to fraction form
    420,712/631,260 = 631,260/x
  3. Step 3: Cross multiply
    420,712x = 631,260 × 631,260
  4. Step 4: Simplify right side
    420,712x = 398,489,187,600
  5. Step 5: Solve for x
    x = 398,489,187,600/420,712
  6. Step 6: Final answer
    x = 947,178.09

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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.