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Finding the Third Proportional to 42,592 and 66,678

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Solution

The third proportional to 42,592 and 66,678 is: 104,384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,592 : 66,678 = 66,678 : x
  2. Step 2: Convert to fraction form
    42,592/66,678 = 66,678/x
  3. Step 3: Cross multiply
    42,592x = 66,678 × 66,678
  4. Step 4: Simplify right side
    42,592x = 4,445,955,684
  5. Step 5: Solve for x
    x = 4,445,955,684/42,592
  6. Step 6: Final answer
    x = 104,384.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.