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Finding the Third Proportional to 256,338,776 and 397,174,116

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Solution

The third proportional to 256,338,776 and 397,174,116 is: 615,385,939.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,338,776 : 397,174,116 = 397,174,116 : x
  2. Step 2: Convert to fraction form
    256,338,776/397,174,116 = 397,174,116/x
  3. Step 3: Cross multiply
    256,338,776x = 397,174,116 × 397,174,116
  4. Step 4: Simplify right side
    256,338,776x = 157,747,278,420,381,440
  5. Step 5: Solve for x
    x = 157,747,278,420,381,440/256,338,776
  6. Step 6: Final answer
    x = 615,385,939.19

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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.