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Finding the Third Proportional to 415,278 and 636,624

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Solution

The third proportional to 415,278 and 636,624 is: 975,948.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,278 : 636,624 = 636,624 : x
  2. Step 2: Convert to fraction form
    415,278/636,624 = 636,624/x
  3. Step 3: Cross multiply
    415,278x = 636,624 × 636,624
  4. Step 4: Simplify right side
    415,278x = 405,290,117,376
  5. Step 5: Solve for x
    x = 405,290,117,376/415,278
  6. Step 6: Final answer
    x = 975,948.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.