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Finding the Third Proportional to 120,524 and 262,486

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Solution

The third proportional to 120,524 and 262,486 is: 571,661.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,524 : 262,486 = 262,486 : x
  2. Step 2: Convert to fraction form
    120,524/262,486 = 262,486/x
  3. Step 3: Cross multiply
    120,524x = 262,486 × 262,486
  4. Step 4: Simplify right side
    120,524x = 68,898,900,196
  5. Step 5: Solve for x
    x = 68,898,900,196/120,524
  6. Step 6: Final answer
    x = 571,661.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.