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Finding the Third Proportional to 137,516.17 and 218,815.33

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Solution

The third proportional to 137,516.17 and 218,815.33 is: 348,178.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,516.17 : 218,815.33 = 218,815.33 : x
  2. Step 2: Convert to fraction form
    137,516.17/218,815.33 = 218,815.33/x
  3. Step 3: Cross multiply
    137,516.17x = 218,815.33 × 218,815.33
  4. Step 4: Simplify right side
    137,516.17x = 47,880,148,677.20
  5. Step 5: Solve for x
    x = 47,880,148,677.20/137,516.17
  6. Step 6: Final answer
    x = 348,178.32

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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.