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Finding the Third Proportional to 549,016 and 820,291

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Solution

The third proportional to 549,016 and 820,291 is: 1,225,606.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,016 : 820,291 = 820,291 : x
  2. Step 2: Convert to fraction form
    549,016/820,291 = 820,291/x
  3. Step 3: Cross multiply
    549,016x = 820,291 × 820,291
  4. Step 4: Simplify right side
    549,016x = 672,877,324,681
  5. Step 5: Solve for x
    x = 672,877,324,681/549,016
  6. Step 6: Final answer
    x = 1,225,606.04

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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.