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Finding the Third Proportional to 409,234 and 631,347

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Solution

The third proportional to 409,234 and 631,347 is: 974,012.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,234 : 631,347 = 631,347 : x
  2. Step 2: Convert to fraction form
    409,234/631,347 = 631,347/x
  3. Step 3: Cross multiply
    409,234x = 631,347 × 631,347
  4. Step 4: Simplify right side
    409,234x = 398,599,034,409
  5. Step 5: Solve for x
    x = 398,599,034,409/409,234
  6. Step 6: Final answer
    x = 974,012.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.