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Finding the Third Proportional to 431,738 and 724,396

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Solution

The third proportional to 431,738 and 724,396 is: 1,215,435.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,738 : 724,396 = 724,396 : x
  2. Step 2: Convert to fraction form
    431,738/724,396 = 724,396/x
  3. Step 3: Cross multiply
    431,738x = 724,396 × 724,396
  4. Step 4: Simplify right side
    431,738x = 524,749,564,816
  5. Step 5: Solve for x
    x = 524,749,564,816/431,738
  6. Step 6: Final answer
    x = 1,215,435.21

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.