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Finding the Third Proportional to 415,324 and 631,194

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Solution

The third proportional to 415,324 and 631,194 is: 959,265.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,324 : 631,194 = 631,194 : x
  2. Step 2: Convert to fraction form
    415,324/631,194 = 631,194/x
  3. Step 3: Cross multiply
    415,324x = 631,194 × 631,194
  4. Step 4: Simplify right side
    415,324x = 398,405,865,636
  5. Step 5: Solve for x
    x = 398,405,865,636/415,324
  6. Step 6: Final answer
    x = 959,265.21

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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.