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Finding the Third Proportional to 55,368 and 85,897

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Solution

The third proportional to 55,368 and 85,897 is: 133,259.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,368 : 85,897 = 85,897 : x
  2. Step 2: Convert to fraction form
    55,368/85,897 = 85,897/x
  3. Step 3: Cross multiply
    55,368x = 85,897 × 85,897
  4. Step 4: Simplify right side
    55,368x = 7,378,294,609
  5. Step 5: Solve for x
    x = 7,378,294,609/55,368
  6. Step 6: Final answer
    x = 133,259.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.