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Finding the Third Proportional to 259,210 and 539,102

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Solution

The third proportional to 259,210 and 539,102 is: 1,121,218.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,210 : 539,102 = 539,102 : x
  2. Step 2: Convert to fraction form
    259,210/539,102 = 539,102/x
  3. Step 3: Cross multiply
    259,210x = 539,102 × 539,102
  4. Step 4: Simplify right side
    259,210x = 290,630,966,404
  5. Step 5: Solve for x
    x = 290,630,966,404/259,210
  6. Step 6: Final answer
    x = 1,121,218.19

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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.