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Finding the Third Proportional to 256,798 and 618,649

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Solution

The third proportional to 256,798 and 618,649 is: 1,490,379.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,798 : 618,649 = 618,649 : x
  2. Step 2: Convert to fraction form
    256,798/618,649 = 618,649/x
  3. Step 3: Cross multiply
    256,798x = 618,649 × 618,649
  4. Step 4: Simplify right side
    256,798x = 382,726,585,201
  5. Step 5: Solve for x
    x = 382,726,585,201/256,798
  6. Step 6: Final answer
    x = 1,490,379.93

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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.