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Finding the Third Proportional to 122,488 and 262,471

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Solution

The third proportional to 122,488 and 262,471 is: 562,430.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,488 : 262,471 = 262,471 : x
  2. Step 2: Convert to fraction form
    122,488/262,471 = 262,471/x
  3. Step 3: Cross multiply
    122,488x = 262,471 × 262,471
  4. Step 4: Simplify right side
    122,488x = 68,891,025,841
  5. Step 5: Solve for x
    x = 68,891,025,841/122,488
  6. Step 6: Final answer
    x = 562,430.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.