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Finding the Third Proportional to 42,576.75 and 90,342

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Solution

The third proportional to 42,576.75 and 90,342 is: 191,693.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,576.75 : 90,342 = 90,342 : x
  2. Step 2: Convert to fraction form
    42,576.75/90,342 = 90,342/x
  3. Step 3: Cross multiply
    42,576.75x = 90,342 × 90,342
  4. Step 4: Simplify right side
    42,576.75x = 8,161,676,964
  5. Step 5: Solve for x
    x = 8,161,676,964/42,576.75
  6. Step 6: Final answer
    x = 191,693.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.