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Finding the Third Proportional to 70,658 and 99,027

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Solution

The third proportional to 70,658 and 99,027 is: 138,786.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,658 : 99,027 = 99,027 : x
  2. Step 2: Convert to fraction form
    70,658/99,027 = 99,027/x
  3. Step 3: Cross multiply
    70,658x = 99,027 × 99,027
  4. Step 4: Simplify right side
    70,658x = 9,806,346,729
  5. Step 5: Solve for x
    x = 9,806,346,729/70,658
  6. Step 6: Final answer
    x = 138,786.08

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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.