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Finding the Third Proportional to 129,200 and 278,768

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Solution

The third proportional to 129,200 and 278,768 is: 601,482.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,200 : 278,768 = 278,768 : x
  2. Step 2: Convert to fraction form
    129,200/278,768 = 278,768/x
  3. Step 3: Cross multiply
    129,200x = 278,768 × 278,768
  4. Step 4: Simplify right side
    129,200x = 77,711,597,824
  5. Step 5: Solve for x
    x = 77,711,597,824/129,200
  6. Step 6: Final answer
    x = 601,482.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.