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Finding the Third Proportional to 96,248 and 144,226

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Solution

The third proportional to 96,248 and 144,226 is: 216,120.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,248 : 144,226 = 144,226 : x
  2. Step 2: Convert to fraction form
    96,248/144,226 = 144,226/x
  3. Step 3: Cross multiply
    96,248x = 144,226 × 144,226
  4. Step 4: Simplify right side
    96,248x = 20,801,139,076
  5. Step 5: Solve for x
    x = 20,801,139,076/96,248
  6. Step 6: Final answer
    x = 216,120.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.