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Finding the Third Proportional to 5,115.66 and 9,985.78

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Solution

The third proportional to 5,115.66 and 9,985.78 is: 19,492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.66 : 9,985.78 = 9,985.78 : x
  2. Step 2: Convert to fraction form
    5,115.66/9,985.78 = 9,985.78/x
  3. Step 3: Cross multiply
    5,115.66x = 9,985.78 × 9,985.78
  4. Step 4: Simplify right side
    5,115.66x = 99,715,827.17
  5. Step 5: Solve for x
    x = 99,715,827.17/5,115.66
  6. Step 6: Final answer
    x = 19,492.28

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.