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Finding the Third Proportional to 310,340 and 664,974

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Solution

The third proportional to 310,340 and 664,974 is: 1,424,857.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,340 : 664,974 = 664,974 : x
  2. Step 2: Convert to fraction form
    310,340/664,974 = 664,974/x
  3. Step 3: Cross multiply
    310,340x = 664,974 × 664,974
  4. Step 4: Simplify right side
    310,340x = 442,190,420,676
  5. Step 5: Solve for x
    x = 442,190,420,676/310,340
  6. Step 6: Final answer
    x = 1,424,857.96

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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.