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Finding the Third Proportional to 32,042 and 74,862

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Solution

The third proportional to 32,042 and 74,862 is: 174,905.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,042 : 74,862 = 74,862 : x
  2. Step 2: Convert to fraction form
    32,042/74,862 = 74,862/x
  3. Step 3: Cross multiply
    32,042x = 74,862 × 74,862
  4. Step 4: Simplify right side
    32,042x = 5,604,319,044
  5. Step 5: Solve for x
    x = 5,604,319,044/32,042
  6. Step 6: Final answer
    x = 174,905.41

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.