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Finding the Third Proportional to 57,115 and 83,724

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Solution

The third proportional to 57,115 and 83,724 is: 122,729.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,115 : 83,724 = 83,724 : x
  2. Step 2: Convert to fraction form
    57,115/83,724 = 83,724/x
  3. Step 3: Cross multiply
    57,115x = 83,724 × 83,724
  4. Step 4: Simplify right side
    57,115x = 7,009,708,176
  5. Step 5: Solve for x
    x = 7,009,708,176/57,115
  6. Step 6: Final answer
    x = 122,729.72

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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.