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Finding the Third Proportional to 121,276 and 259,040

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Solution

The third proportional to 121,276 and 259,040 is: 553,297.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,276 : 259,040 = 259,040 : x
  2. Step 2: Convert to fraction form
    121,276/259,040 = 259,040/x
  3. Step 3: Cross multiply
    121,276x = 259,040 × 259,040
  4. Step 4: Simplify right side
    121,276x = 67,101,721,600
  5. Step 5: Solve for x
    x = 67,101,721,600/121,276
  6. Step 6: Final answer
    x = 553,297.62

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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.