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Finding the Third Proportional to 88,658 and 129,686

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Solution

The third proportional to 88,658 and 129,686 is: 189,700.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,658 : 129,686 = 129,686 : x
  2. Step 2: Convert to fraction form
    88,658/129,686 = 129,686/x
  3. Step 3: Cross multiply
    88,658x = 129,686 × 129,686
  4. Step 4: Simplify right side
    88,658x = 16,818,458,596
  5. Step 5: Solve for x
    x = 16,818,458,596/88,658
  6. Step 6: Final answer
    x = 189,700.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.