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Finding the Third Proportional to 259,281 and 539,257.50

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Solution

The third proportional to 259,281 and 539,257.50 is: 1,121,557.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,281 : 539,257.50 = 539,257.50 : x
  2. Step 2: Convert to fraction form
    259,281/539,257.50 = 539,257.50/x
  3. Step 3: Cross multiply
    259,281x = 539,257.50 × 539,257.50
  4. Step 4: Simplify right side
    259,281x = 290,798,651,306.25
  5. Step 5: Solve for x
    x = 290,798,651,306.25/259,281
  6. Step 6: Final answer
    x = 1,121,557.89

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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.