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Finding the Third Proportional to 323,490 and 703,659

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Solution

The third proportional to 323,490 and 703,659 is: 1,530,606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,490 : 703,659 = 703,659 : x
  2. Step 2: Convert to fraction form
    323,490/703,659 = 703,659/x
  3. Step 3: Cross multiply
    323,490x = 703,659 × 703,659
  4. Step 4: Simplify right side
    323,490x = 495,135,988,281
  5. Step 5: Solve for x
    x = 495,135,988,281/323,490
  6. Step 6: Final answer
    x = 1,530,606.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.