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Finding the Third Proportional to 311,561,552.25 and 493,349,798.25

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Solution

The third proportional to 311,561,552.25 and 493,349,798.25 is: 781,206,864.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,561,552.25 : 493,349,798.25 = 493,349,798.25 : x
  2. Step 2: Convert to fraction form
    311,561,552.25/493,349,798.25 = 493,349,798.25/x
  3. Step 3: Cross multiply
    311,561,552.25x = 493,349,798.25 × 493,349,798.25
  4. Step 4: Simplify right side
    311,561,552.25x = 243,394,023,433,315,712
  5. Step 5: Solve for x
    x = 243,394,023,433,315,712/311,561,552.25
  6. Step 6: Final answer
    x = 781,206,864.83

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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.