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Finding the Third Proportional to 291,330 and 457,778.25

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Solution

The third proportional to 291,330 and 457,778.25 is: 719,324.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,330 : 457,778.25 = 457,778.25 : x
  2. Step 2: Convert to fraction form
    291,330/457,778.25 = 457,778.25/x
  3. Step 3: Cross multiply
    291,330x = 457,778.25 × 457,778.25
  4. Step 4: Simplify right side
    291,330x = 209,560,926,173.06
  5. Step 5: Solve for x
    x = 209,560,926,173.06/291,330
  6. Step 6: Final answer
    x = 719,324.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.