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Finding the Third Proportional to 311,561,295.75 and 493,349,337.56

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Solution

The third proportional to 311,561,295.75 and 493,349,337.56 is: 781,206,049.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,561,295.75 : 493,349,337.56 = 493,349,337.56 : x
  2. Step 2: Convert to fraction form
    311,561,295.75/493,349,337.56 = 493,349,337.56/x
  3. Step 3: Cross multiply
    311,561,295.75x = 493,349,337.56 × 493,349,337.56
  4. Step 4: Simplify right side
    311,561,295.75x = 243,393,568,873,357,568
  5. Step 5: Solve for x
    x = 243,393,568,873,357,568/311,561,295.75
  6. Step 6: Final answer
    x = 781,206,049.00

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.