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Finding the Third Proportional to 258,531.75 and 556,444.69

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Solution

The third proportional to 258,531.75 and 556,444.69 is: 1,197,650.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,531.75 : 556,444.69 = 556,444.69 : x
  2. Step 2: Convert to fraction form
    258,531.75/556,444.69 = 556,444.69/x
  3. Step 3: Cross multiply
    258,531.75x = 556,444.69 × 556,444.69
  4. Step 4: Simplify right side
    258,531.75x = 309,630,690,246.97
  5. Step 5: Solve for x
    x = 309,630,690,246.97/258,531.75
  6. Step 6: Final answer
    x = 1,197,650.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.