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Finding the Third Proportional to 327,834 and 720,702

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Solution

The third proportional to 327,834 and 720,702 is: 1,584,373.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,834 : 720,702 = 720,702 : x
  2. Step 2: Convert to fraction form
    327,834/720,702 = 720,702/x
  3. Step 3: Cross multiply
    327,834x = 720,702 × 720,702
  4. Step 4: Simplify right side
    327,834x = 519,411,372,804
  5. Step 5: Solve for x
    x = 519,411,372,804/327,834
  6. Step 6: Final answer
    x = 1,584,373.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.