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Finding the Third Proportional to 259,225.59 and 539,144.16

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Solution

The third proportional to 259,225.59 and 539,144.16 is: 1,121,326.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,225.59 : 539,144.16 = 539,144.16 : x
  2. Step 2: Convert to fraction form
    259,225.59/539,144.16 = 539,144.16/x
  3. Step 3: Cross multiply
    259,225.59x = 539,144.16 × 539,144.16
  4. Step 4: Simplify right side
    259,225.59x = 290,676,421,218.52
  5. Step 5: Solve for x
    x = 290,676,421,218.52/259,225.59
  6. Step 6: Final answer
    x = 1,121,326.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.