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Finding the Third Proportional to 312,200.50 and 736,743

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Solution

The third proportional to 312,200.50 and 736,743 is: 1,738,595.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,200.50 : 736,743 = 736,743 : x
  2. Step 2: Convert to fraction form
    312,200.50/736,743 = 736,743/x
  3. Step 3: Cross multiply
    312,200.50x = 736,743 × 736,743
  4. Step 4: Simplify right side
    312,200.50x = 542,790,248,049
  5. Step 5: Solve for x
    x = 542,790,248,049/312,200.50
  6. Step 6: Final answer
    x = 1,738,595.06

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.