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Finding the Third Proportional to 381,597 and 829,518

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Solution

The third proportional to 381,597 and 829,518 is: 1,803,211.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,597 : 829,518 = 829,518 : x
  2. Step 2: Convert to fraction form
    381,597/829,518 = 829,518/x
  3. Step 3: Cross multiply
    381,597x = 829,518 × 829,518
  4. Step 4: Simplify right side
    381,597x = 688,100,112,324
  5. Step 5: Solve for x
    x = 688,100,112,324/381,597
  6. Step 6: Final answer
    x = 1,803,211.54

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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.