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Finding the Third Proportional to 136,431 and 278,410.50

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Solution

The third proportional to 136,431 and 278,410.50 is: 568,143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,431 : 278,410.50 = 278,410.50 : x
  2. Step 2: Convert to fraction form
    136,431/278,410.50 = 278,410.50/x
  3. Step 3: Cross multiply
    136,431x = 278,410.50 × 278,410.50
  4. Step 4: Simplify right side
    136,431x = 77,512,406,510.25
  5. Step 5: Solve for x
    x = 77,512,406,510.25/136,431
  6. Step 6: Final answer
    x = 568,143.65

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.