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Finding the Third Proportional to 138,635,217 and 300,387,939

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Solution

The third proportional to 138,635,217 and 300,387,939 is: 650,865,745.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,635,217 : 300,387,939 = 300,387,939 : x
  2. Step 2: Convert to fraction form
    138,635,217/300,387,939 = 300,387,939/x
  3. Step 3: Cross multiply
    138,635,217x = 300,387,939 × 300,387,939
  4. Step 4: Simplify right side
    138,635,217x = 90,232,913,896,667,728
  5. Step 5: Solve for x
    x = 90,232,913,896,667,728/138,635,217
  6. Step 6: Final answer
    x = 650,865,745.73

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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.