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Finding the Third Proportional to 172,580 and 353,520

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Solution

The third proportional to 172,580 and 353,520 is: 724,164.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,580 : 353,520 = 353,520 : x
  2. Step 2: Convert to fraction form
    172,580/353,520 = 353,520/x
  3. Step 3: Cross multiply
    172,580x = 353,520 × 353,520
  4. Step 4: Simplify right side
    172,580x = 124,976,390,400
  5. Step 5: Solve for x
    x = 124,976,390,400/172,580
  6. Step 6: Final answer
    x = 724,164.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.