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Finding the Third Proportional to 256,801.50 and 618,657.75

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Solution

The third proportional to 256,801.50 and 618,657.75 is: 1,490,401.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,801.50 : 618,657.75 = 618,657.75 : x
  2. Step 2: Convert to fraction form
    256,801.50/618,657.75 = 618,657.75/x
  3. Step 3: Cross multiply
    256,801.50x = 618,657.75 × 618,657.75
  4. Step 4: Simplify right side
    256,801.50x = 382,737,411,635.06
  5. Step 5: Solve for x
    x = 382,737,411,635.06/256,801.50
  6. Step 6: Final answer
    x = 1,490,401.78

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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.