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Finding the Third Proportional to 256,673 and 618,354

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Solution

The third proportional to 256,673 and 618,354 is: 1,489,684.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,673 : 618,354 = 618,354 : x
  2. Step 2: Convert to fraction form
    256,673/618,354 = 618,354/x
  3. Step 3: Cross multiply
    256,673x = 618,354 × 618,354
  4. Step 4: Simplify right side
    256,673x = 382,361,669,316
  5. Step 5: Solve for x
    x = 382,361,669,316/256,673
  6. Step 6: Final answer
    x = 1,489,684.03

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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.