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Finding the Third Proportional to 128,184 and 278,000

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Solution

The third proportional to 128,184 and 278,000 is: 602,914.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,184 : 278,000 = 278,000 : x
  2. Step 2: Convert to fraction form
    128,184/278,000 = 278,000/x
  3. Step 3: Cross multiply
    128,184x = 278,000 × 278,000
  4. Step 4: Simplify right side
    128,184x = 77,284,000,000
  5. Step 5: Solve for x
    x = 77,284,000,000/128,184
  6. Step 6: Final answer
    x = 602,914.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.