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Finding the Third Proportional to 182,128.50 and 371,478.66

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Solution

The third proportional to 182,128.50 and 371,478.66 is: 757,686.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,128.50 : 371,478.66 = 371,478.66 : x
  2. Step 2: Convert to fraction form
    182,128.50/371,478.66 = 371,478.66/x
  3. Step 3: Cross multiply
    182,128.50x = 371,478.66 × 371,478.66
  4. Step 4: Simplify right side
    182,128.50x = 137,996,392,049.31
  5. Step 5: Solve for x
    x = 137,996,392,049.31/182,128.50
  6. Step 6: Final answer
    x = 757,686.97

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.