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Finding the Third Proportional to 137,416 and 218,592

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Solution

The third proportional to 137,416 and 218,592 is: 347,721.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,416 : 218,592 = 218,592 : x
  2. Step 2: Convert to fraction form
    137,416/218,592 = 218,592/x
  3. Step 3: Cross multiply
    137,416x = 218,592 × 218,592
  4. Step 4: Simplify right side
    137,416x = 47,782,462,464
  5. Step 5: Solve for x
    x = 47,782,462,464/137,416
  6. Step 6: Final answer
    x = 347,721.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.