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Finding the Third Proportional to 42,724 and 68,032

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Solution

The third proportional to 42,724 and 68,032 is: 108,331.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,724 : 68,032 = 68,032 : x
  2. Step 2: Convert to fraction form
    42,724/68,032 = 68,032/x
  3. Step 3: Cross multiply
    42,724x = 68,032 × 68,032
  4. Step 4: Simplify right side
    42,724x = 4,628,353,024
  5. Step 5: Solve for x
    x = 4,628,353,024/42,724
  6. Step 6: Final answer
    x = 108,331.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.