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Finding the Third Proportional to 69,141 and 97,920

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Solution

The third proportional to 69,141 and 97,920 is: 138,677.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,141 : 97,920 = 97,920 : x
  2. Step 2: Convert to fraction form
    69,141/97,920 = 97,920/x
  3. Step 3: Cross multiply
    69,141x = 97,920 × 97,920
  4. Step 4: Simplify right side
    69,141x = 9,588,326,400
  5. Step 5: Solve for x
    x = 9,588,326,400/69,141
  6. Step 6: Final answer
    x = 138,677.87

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.