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Finding the Third Proportional to 69,536 and 129,139.50

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Solution

The third proportional to 69,536 and 129,139.50 is: 239,832.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,536 : 129,139.50 = 129,139.50 : x
  2. Step 2: Convert to fraction form
    69,536/129,139.50 = 129,139.50/x
  3. Step 3: Cross multiply
    69,536x = 129,139.50 × 129,139.50
  4. Step 4: Simplify right side
    69,536x = 16,677,010,460.25
  5. Step 5: Solve for x
    x = 16,677,010,460.25/69,536
  6. Step 6: Final answer
    x = 239,832.76

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.