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Finding the Third Proportional to 42,720 and 66,015

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Solution

The third proportional to 42,720 and 66,015 is: 102,012.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,720 : 66,015 = 66,015 : x
  2. Step 2: Convert to fraction form
    42,720/66,015 = 66,015/x
  3. Step 3: Cross multiply
    42,720x = 66,015 × 66,015
  4. Step 4: Simplify right side
    42,720x = 4,357,980,225
  5. Step 5: Solve for x
    x = 4,357,980,225/42,720
  6. Step 6: Final answer
    x = 102,012.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.