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Finding the Third Proportional to 256,800 and 618,654

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Solution

The third proportional to 256,800 and 618,654 is: 1,490,392.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,800 : 618,654 = 618,654 : x
  2. Step 2: Convert to fraction form
    256,800/618,654 = 618,654/x
  3. Step 3: Cross multiply
    256,800x = 618,654 × 618,654
  4. Step 4: Simplify right side
    256,800x = 382,732,771,716
  5. Step 5: Solve for x
    x = 382,732,771,716/256,800
  6. Step 6: Final answer
    x = 1,490,392.41

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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.