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Finding the Third Proportional to 83,776 and 183,680

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Solution

The third proportional to 83,776 and 183,680 is: 402,720.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,776 : 183,680 = 183,680 : x
  2. Step 2: Convert to fraction form
    83,776/183,680 = 183,680/x
  3. Step 3: Cross multiply
    83,776x = 183,680 × 183,680
  4. Step 4: Simplify right side
    83,776x = 33,738,342,400
  5. Step 5: Solve for x
    x = 33,738,342,400/83,776
  6. Step 6: Final answer
    x = 402,720.86

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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.