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Finding the Third Proportional to 122,420 and 259,537

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Solution

The third proportional to 122,420 and 259,537 is: 550,232.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,420 : 259,537 = 259,537 : x
  2. Step 2: Convert to fraction form
    122,420/259,537 = 259,537/x
  3. Step 3: Cross multiply
    122,420x = 259,537 × 259,537
  4. Step 4: Simplify right side
    122,420x = 67,359,454,369
  5. Step 5: Solve for x
    x = 67,359,454,369/122,420
  6. Step 6: Final answer
    x = 550,232.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.