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Finding the Third Proportional to 418,230 and 631,242

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Solution

The third proportional to 418,230 and 631,242 is: 952,744.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,230 : 631,242 = 631,242 : x
  2. Step 2: Convert to fraction form
    418,230/631,242 = 631,242/x
  3. Step 3: Cross multiply
    418,230x = 631,242 × 631,242
  4. Step 4: Simplify right side
    418,230x = 398,466,462,564
  5. Step 5: Solve for x
    x = 398,466,462,564/418,230
  6. Step 6: Final answer
    x = 952,744.81

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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.