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Finding the Third Proportional to 457,816.50 and 709,728.75

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Solution

The third proportional to 457,816.50 and 709,728.75 is: 1,100,255.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,816.50 : 709,728.75 = 709,728.75 : x
  2. Step 2: Convert to fraction form
    457,816.50/709,728.75 = 709,728.75/x
  3. Step 3: Cross multiply
    457,816.50x = 709,728.75 × 709,728.75
  4. Step 4: Simplify right side
    457,816.50x = 503,714,898,576.56
  5. Step 5: Solve for x
    x = 503,714,898,576.56/457,816.50
  6. Step 6: Final answer
    x = 1,100,255.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.