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Finding the Third Proportional to 259,232 and 539,157

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Solution

The third proportional to 259,232 and 539,157 is: 1,121,351.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,232 : 539,157 = 539,157 : x
  2. Step 2: Convert to fraction form
    259,232/539,157 = 539,157/x
  3. Step 3: Cross multiply
    259,232x = 539,157 × 539,157
  4. Step 4: Simplify right side
    259,232x = 290,690,270,649
  5. Step 5: Solve for x
    x = 290,690,270,649/259,232
  6. Step 6: Final answer
    x = 1,121,351.80

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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.