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Finding the Third Proportional to 259,231 and 539,155

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Solution

The third proportional to 259,231 and 539,155 is: 1,121,347.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,231 : 539,155 = 539,155 : x
  2. Step 2: Convert to fraction form
    259,231/539,155 = 539,155/x
  3. Step 3: Cross multiply
    259,231x = 539,155 × 539,155
  4. Step 4: Simplify right side
    259,231x = 290,688,114,025
  5. Step 5: Solve for x
    x = 290,688,114,025/259,231
  6. Step 6: Final answer
    x = 1,121,347.81

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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.