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Finding the Third Proportional to 3,664,658.25 and 7,897,318.88

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Solution

The third proportional to 3,664,658.25 and 7,897,318.88 is: 17,018,679.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664,658.25 : 7,897,318.88 = 7,897,318.88 : x
  2. Step 2: Convert to fraction form
    3,664,658.25/7,897,318.88 = 7,897,318.88/x
  3. Step 3: Cross multiply
    3,664,658.25x = 7,897,318.88 × 7,897,318.88
  4. Step 4: Simplify right side
    3,664,658.25x = 62,367,645,413,431.27
  5. Step 5: Solve for x
    x = 62,367,645,413,431.27/3,664,658.25
  6. Step 6: Final answer
    x = 17,018,679.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.