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Finding the Third Proportional to 170,259 and 345,382

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Solution

The third proportional to 170,259 and 345,382 is: 700,630.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,259 : 345,382 = 345,382 : x
  2. Step 2: Convert to fraction form
    170,259/345,382 = 345,382/x
  3. Step 3: Cross multiply
    170,259x = 345,382 × 345,382
  4. Step 4: Simplify right side
    170,259x = 119,288,725,924
  5. Step 5: Solve for x
    x = 119,288,725,924/170,259
  6. Step 6: Final answer
    x = 700,630.96

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.