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Finding the Third Proportional to 549,012 and 820,285

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Solution

The third proportional to 549,012 and 820,285 is: 1,225,597.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,012 : 820,285 = 820,285 : x
  2. Step 2: Convert to fraction form
    549,012/820,285 = 820,285/x
  3. Step 3: Cross multiply
    549,012x = 820,285 × 820,285
  4. Step 4: Simplify right side
    549,012x = 672,867,481,225
  5. Step 5: Solve for x
    x = 672,867,481,225/549,012
  6. Step 6: Final answer
    x = 1,225,597.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.