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Finding the Third Proportional to 131,068 and 284,328

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Solution

The third proportional to 131,068 and 284,328 is: 616,797.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,068 : 284,328 = 284,328 : x
  2. Step 2: Convert to fraction form
    131,068/284,328 = 284,328/x
  3. Step 3: Cross multiply
    131,068x = 284,328 × 284,328
  4. Step 4: Simplify right side
    131,068x = 80,842,411,584
  5. Step 5: Solve for x
    x = 80,842,411,584/131,068
  6. Step 6: Final answer
    x = 616,797.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.