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Finding the Third Proportional to 42,274.88 and 66,891.45

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Solution

The third proportional to 42,274.88 and 66,891.45 is: 105,842.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,274.88 : 66,891.45 = 66,891.45 : x
  2. Step 2: Convert to fraction form
    42,274.88/66,891.45 = 66,891.45/x
  3. Step 3: Cross multiply
    42,274.88x = 66,891.45 × 66,891.45
  4. Step 4: Simplify right side
    42,274.88x = 4,474,465,456.00
  5. Step 5: Solve for x
    x = 4,474,465,456.00/42,274.88
  6. Step 6: Final answer
    x = 105,842.18

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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.