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Finding the Third Proportional to 170,266.50 and 256,695.75

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Solution

The third proportional to 170,266.50 and 256,695.75 is: 386,997.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,266.50 : 256,695.75 = 256,695.75 : x
  2. Step 2: Convert to fraction form
    170,266.50/256,695.75 = 256,695.75/x
  3. Step 3: Cross multiply
    170,266.50x = 256,695.75 × 256,695.75
  4. Step 4: Simplify right side
    170,266.50x = 65,892,708,068.06
  5. Step 5: Solve for x
    x = 65,892,708,068.06/170,266.50
  6. Step 6: Final answer
    x = 386,997.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.