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Finding the Third Proportional to 121,810 and 265,698

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Solution

The third proportional to 121,810 and 265,698 is: 579,553.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,810 : 265,698 = 265,698 : x
  2. Step 2: Convert to fraction form
    121,810/265,698 = 265,698/x
  3. Step 3: Cross multiply
    121,810x = 265,698 × 265,698
  4. Step 4: Simplify right side
    121,810x = 70,595,427,204
  5. Step 5: Solve for x
    x = 70,595,427,204/121,810
  6. Step 6: Final answer
    x = 579,553.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.