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Finding the Third Proportional to 121,134 and 265,348

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Solution

The third proportional to 121,134 and 265,348 is: 581,253.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,134 : 265,348 = 265,348 : x
  2. Step 2: Convert to fraction form
    121,134/265,348 = 265,348/x
  3. Step 3: Cross multiply
    121,134x = 265,348 × 265,348
  4. Step 4: Simplify right side
    121,134x = 70,409,561,104
  5. Step 5: Solve for x
    x = 70,409,561,104/121,134
  6. Step 6: Final answer
    x = 581,253.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.