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Finding the Third Proportional to 549,694.75 and 840,889.25

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Solution

The third proportional to 549,694.75 and 840,889.25 is: 1,286,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,694.75 : 840,889.25 = 840,889.25 : x
  2. Step 2: Convert to fraction form
    549,694.75/840,889.25 = 840,889.25/x
  3. Step 3: Cross multiply
    549,694.75x = 840,889.25 × 840,889.25
  4. Step 4: Simplify right side
    549,694.75x = 707,094,730,765.56
  5. Step 5: Solve for x
    x = 707,094,730,765.56/549,694.75
  6. Step 6: Final answer
    x = 1,286,340.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.