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Finding the Third Proportional to 381,480 and 828,508

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Solution

The third proportional to 381,480 and 828,508 is: 1,799,374.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,480 : 828,508 = 828,508 : x
  2. Step 2: Convert to fraction form
    381,480/828,508 = 828,508/x
  3. Step 3: Cross multiply
    381,480x = 828,508 × 828,508
  4. Step 4: Simplify right side
    381,480x = 686,425,506,064
  5. Step 5: Solve for x
    x = 686,425,506,064/381,480
  6. Step 6: Final answer
    x = 1,799,374.82

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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.