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Finding the Third Proportional to 737,149.50 and 1,610,685

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Solution

The third proportional to 737,149.50 and 1,610,685 is: 3,519,375.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,149.50 : 1,610,685 = 1,610,685 : x
  2. Step 2: Convert to fraction form
    737,149.50/1,610,685 = 1,610,685/x
  3. Step 3: Cross multiply
    737,149.50x = 1,610,685 × 1,610,685
  4. Step 4: Simplify right side
    737,149.50x = 2,594,306,169,225
  5. Step 5: Solve for x
    x = 2,594,306,169,225/737,149.50
  6. Step 6: Final answer
    x = 3,519,375.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.