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Finding the Third Proportional to 70,659 and 99,031

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Solution

The third proportional to 70,659 and 99,031 is: 138,795.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,659 : 99,031 = 99,031 : x
  2. Step 2: Convert to fraction form
    70,659/99,031 = 99,031/x
  3. Step 3: Cross multiply
    70,659x = 99,031 × 99,031
  4. Step 4: Simplify right side
    70,659x = 9,807,138,961
  5. Step 5: Solve for x
    x = 9,807,138,961/70,659
  6. Step 6: Final answer
    x = 138,795.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.