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Finding the Third Proportional to 256,250,304 and 397,114,488

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Solution

The third proportional to 256,250,304 and 397,114,488 is: 615,413,578.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,250,304 : 397,114,488 = 397,114,488 : x
  2. Step 2: Convert to fraction form
    256,250,304/397,114,488 = 397,114,488/x
  3. Step 3: Cross multiply
    256,250,304x = 397,114,488 × 397,114,488
  4. Step 4: Simplify right side
    256,250,304x = 157,699,916,579,502,144
  5. Step 5: Solve for x
    x = 157,699,916,579,502,144/256,250,304
  6. Step 6: Final answer
    x = 615,413,578.51

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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.