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Finding the Third Proportional to 549,872 and 851,403

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Solution

The third proportional to 549,872 and 851,403 is: 1,318,283.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,872 : 851,403 = 851,403 : x
  2. Step 2: Convert to fraction form
    549,872/851,403 = 851,403/x
  3. Step 3: Cross multiply
    549,872x = 851,403 × 851,403
  4. Step 4: Simplify right side
    549,872x = 724,887,068,409
  5. Step 5: Solve for x
    x = 724,887,068,409/549,872
  6. Step 6: Final answer
    x = 1,318,283.29

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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.