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Finding the Third Proportional to 137,518 and 218,818

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Solution

The third proportional to 137,518 and 218,818 is: 348,182.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,518 : 218,818 = 218,818 : x
  2. Step 2: Convert to fraction form
    137,518/218,818 = 218,818/x
  3. Step 3: Cross multiply
    137,518x = 218,818 × 218,818
  4. Step 4: Simplify right side
    137,518x = 47,881,317,124
  5. Step 5: Solve for x
    x = 47,881,317,124/137,518
  6. Step 6: Final answer
    x = 348,182.18

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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.