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Finding the Third Proportional to 61,780 and 99,474

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Solution

The third proportional to 61,780 and 99,474 is: 160,166.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,780 : 99,474 = 99,474 : x
  2. Step 2: Convert to fraction form
    61,780/99,474 = 99,474/x
  3. Step 3: Cross multiply
    61,780x = 99,474 × 99,474
  4. Step 4: Simplify right side
    61,780x = 9,895,076,676
  5. Step 5: Solve for x
    x = 9,895,076,676/61,780
  6. Step 6: Final answer
    x = 160,166.34

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.