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Finding the Third Proportional to 312,199 and 736,739.50

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Solution

The third proportional to 312,199 and 736,739.50 is: 1,738,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,199 : 736,739.50 = 736,739.50 : x
  2. Step 2: Convert to fraction form
    312,199/736,739.50 = 736,739.50/x
  3. Step 3: Cross multiply
    312,199x = 736,739.50 × 736,739.50
  4. Step 4: Simplify right side
    312,199x = 542,785,090,860.25
  5. Step 5: Solve for x
    x = 542,785,090,860.25/312,199
  6. Step 6: Final answer
    x = 1,738,586.90

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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.