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Finding the Third Proportional to 549,802 and 851,307

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Solution

The third proportional to 549,802 and 851,307 is: 1,318,153.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,802 : 851,307 = 851,307 : x
  2. Step 2: Convert to fraction form
    549,802/851,307 = 851,307/x
  3. Step 3: Cross multiply
    549,802x = 851,307 × 851,307
  4. Step 4: Simplify right side
    549,802x = 724,723,608,249
  5. Step 5: Solve for x
    x = 724,723,608,249/549,802
  6. Step 6: Final answer
    x = 1,318,153.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.