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Finding the Third Proportional to 72,908 and 97,982

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Solution

The third proportional to 72,908 and 97,982 is: 131,679.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,908 : 97,982 = 97,982 : x
  2. Step 2: Convert to fraction form
    72,908/97,982 = 97,982/x
  3. Step 3: Cross multiply
    72,908x = 97,982 × 97,982
  4. Step 4: Simplify right side
    72,908x = 9,600,472,324
  5. Step 5: Solve for x
    x = 9,600,472,324/72,908
  6. Step 6: Final answer
    x = 131,679.27

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.