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Finding the Third Proportional to 106,100 and 153,438

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Solution

The third proportional to 106,100 and 153,438 is: 221,896.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,100 : 153,438 = 153,438 : x
  2. Step 2: Convert to fraction form
    106,100/153,438 = 153,438/x
  3. Step 3: Cross multiply
    106,100x = 153,438 × 153,438
  4. Step 4: Simplify right side
    106,100x = 23,543,219,844
  5. Step 5: Solve for x
    x = 23,543,219,844/106,100
  6. Step 6: Final answer
    x = 221,896.51

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.