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Finding the Third Proportional to 61,488 and 136,800

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Solution

The third proportional to 61,488 and 136,800 is: 304,355.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,488 : 136,800 = 136,800 : x
  2. Step 2: Convert to fraction form
    61,488/136,800 = 136,800/x
  3. Step 3: Cross multiply
    61,488x = 136,800 × 136,800
  4. Step 4: Simplify right side
    61,488x = 18,714,240,000
  5. Step 5: Solve for x
    x = 18,714,240,000/61,488
  6. Step 6: Final answer
    x = 304,355.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.