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Finding the Third Proportional to 137,420 and 218,598

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Solution

The third proportional to 137,420 and 218,598 is: 347,730.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,420 : 218,598 = 218,598 : x
  2. Step 2: Convert to fraction form
    137,420/218,598 = 218,598/x
  3. Step 3: Cross multiply
    137,420x = 218,598 × 218,598
  4. Step 4: Simplify right side
    137,420x = 47,785,085,604
  5. Step 5: Solve for x
    x = 47,785,085,604/137,420
  6. Step 6: Final answer
    x = 347,730.21

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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.