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Finding the Third Proportional to 55,818 and 121,500

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Solution

The third proportional to 55,818 and 121,500 is: 264,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,818 : 121,500 = 121,500 : x
  2. Step 2: Convert to fraction form
    55,818/121,500 = 121,500/x
  3. Step 3: Cross multiply
    55,818x = 121,500 × 121,500
  4. Step 4: Simplify right side
    55,818x = 14,762,250,000
  5. Step 5: Solve for x
    x = 14,762,250,000/55,818
  6. Step 6: Final answer
    x = 264,471.14

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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.