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Finding the Third Proportional to 230,151.75 and 278,130

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Solution

The third proportional to 230,151.75 and 278,130 is: 336,109.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,151.75 : 278,130 = 278,130 : x
  2. Step 2: Convert to fraction form
    230,151.75/278,130 = 278,130/x
  3. Step 3: Cross multiply
    230,151.75x = 278,130 × 278,130
  4. Step 4: Simplify right side
    230,151.75x = 77,356,296,900
  5. Step 5: Solve for x
    x = 77,356,296,900/230,151.75
  6. Step 6: Final answer
    x = 336,109.97

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.