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Finding the Third Proportional to 42,988 and 66,400

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Solution

The third proportional to 42,988 and 66,400 is: 102,562.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,988 : 66,400 = 66,400 : x
  2. Step 2: Convert to fraction form
    42,988/66,400 = 66,400/x
  3. Step 3: Cross multiply
    42,988x = 66,400 × 66,400
  4. Step 4: Simplify right side
    42,988x = 4,408,960,000
  5. Step 5: Solve for x
    x = 4,408,960,000/42,988
  6. Step 6: Final answer
    x = 102,562.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.