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Finding the Third Proportional to 170,127 and 256,558

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Solution

The third proportional to 170,127 and 256,558 is: 386,899.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,127 : 256,558 = 256,558 : x
  2. Step 2: Convert to fraction form
    170,127/256,558 = 256,558/x
  3. Step 3: Cross multiply
    170,127x = 256,558 × 256,558
  4. Step 4: Simplify right side
    170,127x = 65,822,007,364
  5. Step 5: Solve for x
    x = 65,822,007,364/170,127
  6. Step 6: Final answer
    x = 386,899.24

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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.