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Finding the Third Proportional to 163,711 and 351,341

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Solution

The third proportional to 163,711 and 351,341 is: 754,014.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,711 : 351,341 = 351,341 : x
  2. Step 2: Convert to fraction form
    163,711/351,341 = 351,341/x
  3. Step 3: Cross multiply
    163,711x = 351,341 × 351,341
  4. Step 4: Simplify right side
    163,711x = 123,440,498,281
  5. Step 5: Solve for x
    x = 123,440,498,281/163,711
  6. Step 6: Final answer
    x = 754,014.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.