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Finding the Third Proportional to 310,721 and 673,282

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Solution

The third proportional to 310,721 and 673,282 is: 1,458,892.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,721 : 673,282 = 673,282 : x
  2. Step 2: Convert to fraction form
    310,721/673,282 = 673,282/x
  3. Step 3: Cross multiply
    310,721x = 673,282 × 673,282
  4. Step 4: Simplify right side
    310,721x = 453,308,651,524
  5. Step 5: Solve for x
    x = 453,308,651,524/310,721
  6. Step 6: Final answer
    x = 1,458,892.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.