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Finding the Third Proportional to 256,675 and 618,359

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Solution

The third proportional to 256,675 and 618,359 is: 1,489,696.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,675 : 618,359 = 618,359 : x
  2. Step 2: Convert to fraction form
    256,675/618,359 = 618,359/x
  3. Step 3: Cross multiply
    256,675x = 618,359 × 618,359
  4. Step 4: Simplify right side
    256,675x = 382,367,852,881
  5. Step 5: Solve for x
    x = 382,367,852,881/256,675
  6. Step 6: Final answer
    x = 1,489,696.51

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.