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Finding the Third Proportional to 61,120 and 82,464

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Solution

The third proportional to 61,120 and 82,464 is: 111,261.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,120 : 82,464 = 82,464 : x
  2. Step 2: Convert to fraction form
    61,120/82,464 = 82,464/x
  3. Step 3: Cross multiply
    61,120x = 82,464 × 82,464
  4. Step 4: Simplify right side
    61,120x = 6,800,311,296
  5. Step 5: Solve for x
    x = 6,800,311,296/61,120
  6. Step 6: Final answer
    x = 111,261.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.