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Finding the Third Proportional to 311,561,553 and 493,349,796

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Solution

The third proportional to 311,561,553 and 493,349,796 is: 781,206,855.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,561,553 : 493,349,796 = 493,349,796 : x
  2. Step 2: Convert to fraction form
    311,561,553/493,349,796 = 493,349,796/x
  3. Step 3: Cross multiply
    311,561,553x = 493,349,796 × 493,349,796
  4. Step 4: Simplify right side
    311,561,553x = 243,394,021,213,241,600
  5. Step 5: Solve for x
    x = 243,394,021,213,241,600/311,561,553
  6. Step 6: Final answer
    x = 781,206,855.82

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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.