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Finding the Third Proportional to 5,382 and 7,897

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Solution

The third proportional to 5,382 and 7,897 is: 11,587.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382 : 7,897 = 7,897 : x
  2. Step 2: Convert to fraction form
    5,382/7,897 = 7,897/x
  3. Step 3: Cross multiply
    5,382x = 7,897 × 7,897
  4. Step 4: Simplify right side
    5,382x = 62,362,609
  5. Step 5: Solve for x
    x = 62,362,609/5,382
  6. Step 6: Final answer
    x = 11,587.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.