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Finding the Third Proportional to 90,382 and 138,261

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Solution

The third proportional to 90,382 and 138,261 is: 211,503.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,382 : 138,261 = 138,261 : x
  2. Step 2: Convert to fraction form
    90,382/138,261 = 138,261/x
  3. Step 3: Cross multiply
    90,382x = 138,261 × 138,261
  4. Step 4: Simplify right side
    90,382x = 19,116,104,121
  5. Step 5: Solve for x
    x = 19,116,104,121/90,382
  6. Step 6: Final answer
    x = 211,503.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.