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Finding the Third Proportional to 42,421.50 and 66,879

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Solution

The third proportional to 42,421.50 and 66,879 is: 105,437.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,421.50 : 66,879 = 66,879 : x
  2. Step 2: Convert to fraction form
    42,421.50/66,879 = 66,879/x
  3. Step 3: Cross multiply
    42,421.50x = 66,879 × 66,879
  4. Step 4: Simplify right side
    42,421.50x = 4,472,800,641
  5. Step 5: Solve for x
    x = 4,472,800,641/42,421.50
  6. Step 6: Final answer
    x = 105,437.12

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.