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Finding the Third Proportional to 100,390 and 133,835

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Solution

The third proportional to 100,390 and 133,835 is: 178,422.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,390 : 133,835 = 133,835 : x
  2. Step 2: Convert to fraction form
    100,390/133,835 = 133,835/x
  3. Step 3: Cross multiply
    100,390x = 133,835 × 133,835
  4. Step 4: Simplify right side
    100,390x = 17,911,807,225
  5. Step 5: Solve for x
    x = 17,911,807,225/100,390
  6. Step 6: Final answer
    x = 178,422.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.