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Finding the Third Proportional to 66,730 and 103,920

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Solution

The third proportional to 66,730 and 103,920 is: 161,836.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,730 : 103,920 = 103,920 : x
  2. Step 2: Convert to fraction form
    66,730/103,920 = 103,920/x
  3. Step 3: Cross multiply
    66,730x = 103,920 × 103,920
  4. Step 4: Simplify right side
    66,730x = 10,799,366,400
  5. Step 5: Solve for x
    x = 10,799,366,400/66,730
  6. Step 6: Final answer
    x = 161,836.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.