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Finding the Third Proportional to 381,528 and 813,708

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Solution

The third proportional to 381,528 and 813,708 is: 1,735,444.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,528 : 813,708 = 813,708 : x
  2. Step 2: Convert to fraction form
    381,528/813,708 = 813,708/x
  3. Step 3: Cross multiply
    381,528x = 813,708 × 813,708
  4. Step 4: Simplify right side
    381,528x = 662,120,709,264
  5. Step 5: Solve for x
    x = 662,120,709,264/381,528
  6. Step 6: Final answer
    x = 1,735,444.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.