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Finding the Third Proportional to 256,338,650 and 397,173,945

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Solution

The third proportional to 256,338,650 and 397,173,945 is: 615,385,711.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,338,650 : 397,173,945 = 397,173,945 : x
  2. Step 2: Convert to fraction form
    256,338,650/397,173,945 = 397,173,945/x
  3. Step 3: Cross multiply
    256,338,650x = 397,173,945 × 397,173,945
  4. Step 4: Simplify right side
    256,338,650x = 157,747,142,586,863,040
  5. Step 5: Solve for x
    x = 157,747,142,586,863,040/256,338,650
  6. Step 6: Final answer
    x = 615,385,711.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.