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Finding the Third Proportional to 311,561,550 and 493,349,791.50

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Solution

The third proportional to 311,561,550 and 493,349,791.50 is: 781,206,849.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,561,550 : 493,349,791.50 = 493,349,791.50 : x
  2. Step 2: Convert to fraction form
    311,561,550/493,349,791.50 = 493,349,791.50/x
  3. Step 3: Cross multiply
    311,561,550x = 493,349,791.50 × 493,349,791.50
  4. Step 4: Simplify right side
    311,561,550x = 243,394,016,773,093,472
  5. Step 5: Solve for x
    x = 243,394,016,773,093,472/311,561,550
  6. Step 6: Final answer
    x = 781,206,849.09

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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.