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Finding the Third Proportional to 415,382 and 622,381

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Solution

The third proportional to 415,382 and 622,381 is: 932,534.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,382 : 622,381 = 622,381 : x
  2. Step 2: Convert to fraction form
    415,382/622,381 = 622,381/x
  3. Step 3: Cross multiply
    415,382x = 622,381 × 622,381
  4. Step 4: Simplify right side
    415,382x = 387,358,109,161
  5. Step 5: Solve for x
    x = 387,358,109,161/415,382
  6. Step 6: Final answer
    x = 932,534.65

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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.