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Finding the Third Proportional to 318,023,253 and 687,108,474

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Solution

The third proportional to 318,023,253 and 687,108,474 is: 1,484,539,418.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,023,253 : 687,108,474 = 687,108,474 : x
  2. Step 2: Convert to fraction form
    318,023,253/687,108,474 = 687,108,474/x
  3. Step 3: Cross multiply
    318,023,253x = 687,108,474 × 687,108,474
  4. Step 4: Simplify right side
    318,023,253x = 472,118,055,042,608,704
  5. Step 5: Solve for x
    x = 472,118,055,042,608,704/318,023,253
  6. Step 6: Final answer
    x = 1,484,539,418.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.