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Finding the Third Proportional to 134,000 and 208,378

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Solution

The third proportional to 134,000 and 208,378 is: 324,040.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,000 : 208,378 = 208,378 : x
  2. Step 2: Convert to fraction form
    134,000/208,378 = 208,378/x
  3. Step 3: Cross multiply
    134,000x = 208,378 × 208,378
  4. Step 4: Simplify right side
    134,000x = 43,421,390,884
  5. Step 5: Solve for x
    x = 43,421,390,884/134,000
  6. Step 6: Final answer
    x = 324,040.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.