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Finding the Third Proportional to 121,023 and 262,455

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Solution

The third proportional to 121,023 and 262,455 is: 569,169.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,023 : 262,455 = 262,455 : x
  2. Step 2: Convert to fraction form
    121,023/262,455 = 262,455/x
  3. Step 3: Cross multiply
    121,023x = 262,455 × 262,455
  4. Step 4: Simplify right side
    121,023x = 68,882,627,025
  5. Step 5: Solve for x
    x = 68,882,627,025/121,023
  6. Step 6: Final answer
    x = 569,169.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.