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Finding the Third Proportional to 66,216 and 144,811

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Solution

The third proportional to 66,216 and 144,811 is: 316,694.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,216 : 144,811 = 144,811 : x
  2. Step 2: Convert to fraction form
    66,216/144,811 = 144,811/x
  3. Step 3: Cross multiply
    66,216x = 144,811 × 144,811
  4. Step 4: Simplify right side
    66,216x = 20,970,225,721
  5. Step 5: Solve for x
    x = 20,970,225,721/66,216
  6. Step 6: Final answer
    x = 316,694.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.