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Finding the Third Proportional to 57,360 and 84,159

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Solution

The third proportional to 57,360 and 84,159 is: 123,478.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,360 : 84,159 = 84,159 : x
  2. Step 2: Convert to fraction form
    57,360/84,159 = 84,159/x
  3. Step 3: Cross multiply
    57,360x = 84,159 × 84,159
  4. Step 4: Simplify right side
    57,360x = 7,082,737,281
  5. Step 5: Solve for x
    x = 7,082,737,281/57,360
  6. Step 6: Final answer
    x = 123,478.68

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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.