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Finding the Third Proportional to 415,336 and 631,214

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Solution

The third proportional to 415,336 and 631,214 is: 959,298.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,336 : 631,214 = 631,214 : x
  2. Step 2: Convert to fraction form
    415,336/631,214 = 631,214/x
  3. Step 3: Cross multiply
    415,336x = 631,214 × 631,214
  4. Step 4: Simplify right side
    415,336x = 398,431,113,796
  5. Step 5: Solve for x
    x = 398,431,113,796/415,336
  6. Step 6: Final answer
    x = 959,298.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.