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Finding the Third Proportional to 170,806 and 256,758

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Solution

The third proportional to 170,806 and 256,758 is: 385,962.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,806 : 256,758 = 256,758 : x
  2. Step 2: Convert to fraction form
    170,806/256,758 = 256,758/x
  3. Step 3: Cross multiply
    170,806x = 256,758 × 256,758
  4. Step 4: Simplify right side
    170,806x = 65,924,670,564
  5. Step 5: Solve for x
    x = 65,924,670,564/170,806
  6. Step 6: Final answer
    x = 385,962.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.