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Finding the Third Proportional to 86,582 and 129,875

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Solution

The third proportional to 86,582 and 129,875 is: 194,815.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,582 : 129,875 = 129,875 : x
  2. Step 2: Convert to fraction form
    86,582/129,875 = 129,875/x
  3. Step 3: Cross multiply
    86,582x = 129,875 × 129,875
  4. Step 4: Simplify right side
    86,582x = 16,867,515,625
  5. Step 5: Solve for x
    x = 16,867,515,625/86,582
  6. Step 6: Final answer
    x = 194,815.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.