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Finding the Third Proportional to 122,253 and 259,221

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Solution

The third proportional to 122,253 and 259,221 is: 549,643.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,253 : 259,221 = 259,221 : x
  2. Step 2: Convert to fraction form
    122,253/259,221 = 259,221/x
  3. Step 3: Cross multiply
    122,253x = 259,221 × 259,221
  4. Step 4: Simplify right side
    122,253x = 67,195,526,841
  5. Step 5: Solve for x
    x = 67,195,526,841/122,253
  6. Step 6: Final answer
    x = 549,643.17

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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.