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Finding the Third Proportional to 100,582 and 149,138

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Solution

The third proportional to 100,582 and 149,138 is: 221,134.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,582 : 149,138 = 149,138 : x
  2. Step 2: Convert to fraction form
    100,582/149,138 = 149,138/x
  3. Step 3: Cross multiply
    100,582x = 149,138 × 149,138
  4. Step 4: Simplify right side
    100,582x = 22,242,143,044
  5. Step 5: Solve for x
    x = 22,242,143,044/100,582
  6. Step 6: Final answer
    x = 221,134.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.