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Finding the Third Proportional to 415,370 and 622,364

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Solution

The third proportional to 415,370 and 622,364 is: 932,510.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,370 : 622,364 = 622,364 : x
  2. Step 2: Convert to fraction form
    415,370/622,364 = 622,364/x
  3. Step 3: Cross multiply
    415,370x = 622,364 × 622,364
  4. Step 4: Simplify right side
    415,370x = 387,336,948,496
  5. Step 5: Solve for x
    x = 387,336,948,496/415,370
  6. Step 6: Final answer
    x = 932,510.65

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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.