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Finding the Third Proportional to 141,552 and 309,357

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Solution

The third proportional to 141,552 and 309,357 is: 676,089.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,552 : 309,357 = 309,357 : x
  2. Step 2: Convert to fraction form
    141,552/309,357 = 309,357/x
  3. Step 3: Cross multiply
    141,552x = 309,357 × 309,357
  4. Step 4: Simplify right side
    141,552x = 95,701,753,449
  5. Step 5: Solve for x
    x = 95,701,753,449/141,552
  6. Step 6: Final answer
    x = 676,089.02

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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.