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Finding the Third Proportional to 121,138 and 265,364

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Solution

The third proportional to 121,138 and 265,364 is: 581,304.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,138 : 265,364 = 265,364 : x
  2. Step 2: Convert to fraction form
    121,138/265,364 = 265,364/x
  3. Step 3: Cross multiply
    121,138x = 265,364 × 265,364
  4. Step 4: Simplify right side
    121,138x = 70,418,052,496
  5. Step 5: Solve for x
    x = 70,418,052,496/121,138
  6. Step 6: Final answer
    x = 581,304.40

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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.