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Finding the Third Proportional to 100,128 and 187,644

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Solution

The third proportional to 100,128 and 187,644 is: 351,652.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,128 : 187,644 = 187,644 : x
  2. Step 2: Convert to fraction form
    100,128/187,644 = 187,644/x
  3. Step 3: Cross multiply
    100,128x = 187,644 × 187,644
  4. Step 4: Simplify right side
    100,128x = 35,210,270,736
  5. Step 5: Solve for x
    x = 35,210,270,736/100,128
  6. Step 6: Final answer
    x = 351,652.59

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.