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Finding the Third Proportional to 121,806 and 265,690

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Solution

The third proportional to 121,806 and 265,690 is: 579,537.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,806 : 265,690 = 265,690 : x
  2. Step 2: Convert to fraction form
    121,806/265,690 = 265,690/x
  3. Step 3: Cross multiply
    121,806x = 265,690 × 265,690
  4. Step 4: Simplify right side
    121,806x = 70,591,176,100
  5. Step 5: Solve for x
    x = 70,591,176,100/121,806
  6. Step 6: Final answer
    x = 579,537.76

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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.