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Finding the Third Proportional to 138,217,851 and 302,469,750

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Solution

The third proportional to 138,217,851 and 302,469,750 is: 661,911,243.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,217,851 : 302,469,750 = 302,469,750 : x
  2. Step 2: Convert to fraction form
    138,217,851/302,469,750 = 302,469,750/x
  3. Step 3: Cross multiply
    138,217,851x = 302,469,750 × 302,469,750
  4. Step 4: Simplify right side
    138,217,851x = 91,487,949,665,062,496
  5. Step 5: Solve for x
    x = 91,487,949,665,062,496/138,217,851
  6. Step 6: Final answer
    x = 661,911,243.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.