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Finding the Third Proportional to 521,331 and 1,142,307

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Solution

The third proportional to 521,331 and 1,142,307 is: 2,502,949.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,331 : 1,142,307 = 1,142,307 : x
  2. Step 2: Convert to fraction form
    521,331/1,142,307 = 1,142,307/x
  3. Step 3: Cross multiply
    521,331x = 1,142,307 × 1,142,307
  4. Step 4: Simplify right side
    521,331x = 1,304,865,282,249
  5. Step 5: Solve for x
    x = 1,304,865,282,249/521,331
  6. Step 6: Final answer
    x = 2,502,949.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.