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Finding the Third Proportional to 549,014 and 820,288

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Solution

The third proportional to 549,014 and 820,288 is: 1,225,601.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,014 : 820,288 = 820,288 : x
  2. Step 2: Convert to fraction form
    549,014/820,288 = 820,288/x
  3. Step 3: Cross multiply
    549,014x = 820,288 × 820,288
  4. Step 4: Simplify right side
    549,014x = 672,872,402,944
  5. Step 5: Solve for x
    x = 672,872,402,944/549,014
  6. Step 6: Final answer
    x = 1,225,601.54

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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.