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Finding the Third Proportional to 121,101 and 262,615

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Solution

The third proportional to 121,101 and 262,615 is: 569,496.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,101 : 262,615 = 262,615 : x
  2. Step 2: Convert to fraction form
    121,101/262,615 = 262,615/x
  3. Step 3: Cross multiply
    121,101x = 262,615 × 262,615
  4. Step 4: Simplify right side
    121,101x = 68,966,638,225
  5. Step 5: Solve for x
    x = 68,966,638,225/121,101
  6. Step 6: Final answer
    x = 569,496.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.