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Finding the Third Proportional to 9,985.78 and 15,586.17

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Solution

The third proportional to 9,985.78 and 15,586.17 is: 24,327.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.78 : 15,586.17 = 15,586.17 : x
  2. Step 2: Convert to fraction form
    9,985.78/15,586.17 = 15,586.17/x
  3. Step 3: Cross multiply
    9,985.78x = 15,586.17 × 15,586.17
  4. Step 4: Simplify right side
    9,985.78x = 242,928,753.72
  5. Step 5: Solve for x
    x = 242,928,753.72/9,985.78
  6. Step 6: Final answer
    x = 24,327.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.