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Finding the Third Proportional to 66,541 and 144,155

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Solution

The third proportional to 66,541 and 144,155 is: 312,298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,541 : 144,155 = 144,155 : x
  2. Step 2: Convert to fraction form
    66,541/144,155 = 144,155/x
  3. Step 3: Cross multiply
    66,541x = 144,155 × 144,155
  4. Step 4: Simplify right side
    66,541x = 20,780,664,025
  5. Step 5: Solve for x
    x = 20,780,664,025/66,541
  6. Step 6: Final answer
    x = 312,298.64

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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.