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Finding the Third Proportional to 129,265.88 and 186,178.50

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Solution

The third proportional to 129,265.88 and 186,178.50 is: 268,148.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,265.88 : 186,178.50 = 186,178.50 : x
  2. Step 2: Convert to fraction form
    129,265.88/186,178.50 = 186,178.50/x
  3. Step 3: Cross multiply
    129,265.88x = 186,178.50 × 186,178.50
  4. Step 4: Simplify right side
    129,265.88x = 34,662,433,862.25
  5. Step 5: Solve for x
    x = 34,662,433,862.25/129,265.88
  6. Step 6: Final answer
    x = 268,148.37

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.