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Finding the Third Proportional to 7,821.56 and 12,487.92

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Solution

The third proportional to 7,821.56 and 12,487.92 is: 19,938.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.56 : 12,487.92 = 12,487.92 : x
  2. Step 2: Convert to fraction form
    7,821.56/12,487.92 = 12,487.92/x
  3. Step 3: Cross multiply
    7,821.56x = 12,487.92 × 12,487.92
  4. Step 4: Simplify right side
    7,821.56x = 155,948,192.76
  5. Step 5: Solve for x
    x = 155,948,192.76/7,821.56
  6. Step 6: Final answer
    x = 19,938.24

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.