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Finding the Third Proportional to 15,387 and 33,780

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Solution

The third proportional to 15,387 and 33,780 is: 74,159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,387 : 33,780 = 33,780 : x
  2. Step 2: Convert to fraction form
    15,387/33,780 = 33,780/x
  3. Step 3: Cross multiply
    15,387x = 33,780 × 33,780
  4. Step 4: Simplify right side
    15,387x = 1,141,088,400
  5. Step 5: Solve for x
    x = 1,141,088,400/15,387
  6. Step 6: Final answer
    x = 74,159.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.