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Finding the Third Proportional to 381,587 and 828,730

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Solution

The third proportional to 381,587 and 828,730 is: 1,799,834.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,587 : 828,730 = 828,730 : x
  2. Step 2: Convert to fraction form
    381,587/828,730 = 828,730/x
  3. Step 3: Cross multiply
    381,587x = 828,730 × 828,730
  4. Step 4: Simplify right side
    381,587x = 686,793,412,900
  5. Step 5: Solve for x
    x = 686,793,412,900/381,587
  6. Step 6: Final answer
    x = 1,799,834.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.