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Finding the Third Proportional to 3,897 and 4,387.50

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Solution

The third proportional to 3,897 and 4,387.50 is: 4,939.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897 : 4,387.50 = 4,387.50 : x
  2. Step 2: Convert to fraction form
    3,897/4,387.50 = 4,387.50/x
  3. Step 3: Cross multiply
    3,897x = 4,387.50 × 4,387.50
  4. Step 4: Simplify right side
    3,897x = 19,250,156.25
  5. Step 5: Solve for x
    x = 19,250,156.25/3,897
  6. Step 6: Final answer
    x = 4,939.74

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.