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Finding the Third Proportional to 70,657 and 99,028

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Solution

The third proportional to 70,657 and 99,028 is: 138,790.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,657 : 99,028 = 99,028 : x
  2. Step 2: Convert to fraction form
    70,657/99,028 = 99,028/x
  3. Step 3: Cross multiply
    70,657x = 99,028 × 99,028
  4. Step 4: Simplify right side
    70,657x = 9,806,544,784
  5. Step 5: Solve for x
    x = 9,806,544,784/70,657
  6. Step 6: Final answer
    x = 138,790.85

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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.