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Finding the Third Proportional to 55,865 and 121,765

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Solution

The third proportional to 55,865 and 121,765 is: 265,402.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,865 : 121,765 = 121,765 : x
  2. Step 2: Convert to fraction form
    55,865/121,765 = 121,765/x
  3. Step 3: Cross multiply
    55,865x = 121,765 × 121,765
  4. Step 4: Simplify right side
    55,865x = 14,826,715,225
  5. Step 5: Solve for x
    x = 14,826,715,225/55,865
  6. Step 6: Final answer
    x = 265,402.58

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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.