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Finding the Third Proportional to 315,214 and 674,711

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Solution

The third proportional to 315,214 and 674,711 is: 1,444,209.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,214 : 674,711 = 674,711 : x
  2. Step 2: Convert to fraction form
    315,214/674,711 = 674,711/x
  3. Step 3: Cross multiply
    315,214x = 674,711 × 674,711
  4. Step 4: Simplify right side
    315,214x = 455,234,933,521
  5. Step 5: Solve for x
    x = 455,234,933,521/315,214
  6. Step 6: Final answer
    x = 1,444,209.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.