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Finding the Third Proportional to 7,704 and 11,952.50

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Solution

The third proportional to 7,704 and 11,952.50 is: 18,543.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704 : 11,952.50 = 11,952.50 : x
  2. Step 2: Convert to fraction form
    7,704/11,952.50 = 11,952.50/x
  3. Step 3: Cross multiply
    7,704x = 11,952.50 × 11,952.50
  4. Step 4: Simplify right side
    7,704x = 142,862,256.25
  5. Step 5: Solve for x
    x = 142,862,256.25/7,704
  6. Step 6: Final answer
    x = 18,543.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.