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Finding the Third Proportional to 55,372 and 85,970

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Solution

The third proportional to 55,372 and 85,970 is: 133,476.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,372 : 85,970 = 85,970 : x
  2. Step 2: Convert to fraction form
    55,372/85,970 = 85,970/x
  3. Step 3: Cross multiply
    55,372x = 85,970 × 85,970
  4. Step 4: Simplify right side
    55,372x = 7,390,840,900
  5. Step 5: Solve for x
    x = 7,390,840,900/55,372
  6. Step 6: Final answer
    x = 133,476.14

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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.