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Finding the Third Proportional to 137,872,353 and 298,721,868

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Solution

The third proportional to 137,872,353 and 298,721,868 is: 647,227,326.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,872,353 : 298,721,868 = 298,721,868 : x
  2. Step 2: Convert to fraction form
    137,872,353/298,721,868 = 298,721,868/x
  3. Step 3: Cross multiply
    137,872,353x = 298,721,868 × 298,721,868
  4. Step 4: Simplify right side
    137,872,353x = 89,234,754,421,409,424
  5. Step 5: Solve for x
    x = 89,234,754,421,409,424/137,872,353
  6. Step 6: Final answer
    x = 647,227,326.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.