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Finding the Third Proportional to 138,635,205.75 and 300,387,912.75

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Solution

The third proportional to 138,635,205.75 and 300,387,912.75 is: 650,865,684.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,635,205.75 : 300,387,912.75 = 300,387,912.75 : x
  2. Step 2: Convert to fraction form
    138,635,205.75/300,387,912.75 = 300,387,912.75/x
  3. Step 3: Cross multiply
    138,635,205.75x = 300,387,912.75 × 300,387,912.75
  4. Step 4: Simplify right side
    138,635,205.75x = 90,232,898,126,301,616
  5. Step 5: Solve for x
    x = 90,232,898,126,301,616/138,635,205.75
  6. Step 6: Final answer
    x = 650,865,684.79

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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.