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Finding the Third Proportional to 121,491 and 262,950

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Solution

The third proportional to 121,491 and 262,950 is: 569,117.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,491 : 262,950 = 262,950 : x
  2. Step 2: Convert to fraction form
    121,491/262,950 = 262,950/x
  3. Step 3: Cross multiply
    121,491x = 262,950 × 262,950
  4. Step 4: Simplify right side
    121,491x = 69,142,702,500
  5. Step 5: Solve for x
    x = 69,142,702,500/121,491
  6. Step 6: Final answer
    x = 569,117.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.