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Finding the Third Proportional to 83,140 and 183,780

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Solution

The third proportional to 83,140 and 183,780 is: 406,243.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,140 : 183,780 = 183,780 : x
  2. Step 2: Convert to fraction form
    83,140/183,780 = 183,780/x
  3. Step 3: Cross multiply
    83,140x = 183,780 × 183,780
  4. Step 4: Simplify right side
    83,140x = 33,775,088,400
  5. Step 5: Solve for x
    x = 33,775,088,400/83,140
  6. Step 6: Final answer
    x = 406,243.55

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.