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Finding the Third Proportional to 122,712 and 259,569

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Solution

The third proportional to 122,712 and 259,569 is: 549,058.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,712 : 259,569 = 259,569 : x
  2. Step 2: Convert to fraction form
    122,712/259,569 = 259,569/x
  3. Step 3: Cross multiply
    122,712x = 259,569 × 259,569
  4. Step 4: Simplify right side
    122,712x = 67,376,065,761
  5. Step 5: Solve for x
    x = 67,376,065,761/122,712
  6. Step 6: Final answer
    x = 549,058.49

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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.