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Finding the Third Proportional to 141,552 and 309,356

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Solution

The third proportional to 141,552 and 309,356 is: 676,084.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,552 : 309,356 = 309,356 : x
  2. Step 2: Convert to fraction form
    141,552/309,356 = 309,356/x
  3. Step 3: Cross multiply
    141,552x = 309,356 × 309,356
  4. Step 4: Simplify right side
    141,552x = 95,701,134,736
  5. Step 5: Solve for x
    x = 95,701,134,736/141,552
  6. Step 6: Final answer
    x = 676,084.65

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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.