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Finding the Third Proportional to 256,338,648 and 397,173,942

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Solution

The third proportional to 256,338,648 and 397,173,942 is: 615,385,707.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,338,648 : 397,173,942 = 397,173,942 : x
  2. Step 2: Convert to fraction form
    256,338,648/397,173,942 = 397,173,942/x
  3. Step 3: Cross multiply
    256,338,648x = 397,173,942 × 397,173,942
  4. Step 4: Simplify right side
    256,338,648x = 157,747,140,203,819,360
  5. Step 5: Solve for x
    x = 157,747,140,203,819,360/256,338,648
  6. Step 6: Final answer
    x = 615,385,707.28

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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.