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Finding the Third Proportional to 137,377.50 and 217,946.25

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Solution

The third proportional to 137,377.50 and 217,946.25 is: 345,766.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,377.50 : 217,946.25 = 217,946.25 : x
  2. Step 2: Convert to fraction form
    137,377.50/217,946.25 = 217,946.25/x
  3. Step 3: Cross multiply
    137,377.50x = 217,946.25 × 217,946.25
  4. Step 4: Simplify right side
    137,377.50x = 47,500,567,889.06
  5. Step 5: Solve for x
    x = 47,500,567,889.06/137,377.50
  6. Step 6: Final answer
    x = 345,766.72

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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.