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Finding the Third Proportional to 188,291.25 and 282,438

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Solution

The third proportional to 188,291.25 and 282,438 is: 423,658.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,291.25 : 282,438 = 282,438 : x
  2. Step 2: Convert to fraction form
    188,291.25/282,438 = 282,438/x
  3. Step 3: Cross multiply
    188,291.25x = 282,438 × 282,438
  4. Step 4: Simplify right side
    188,291.25x = 79,771,223,844
  5. Step 5: Solve for x
    x = 79,771,223,844/188,291.25
  6. Step 6: Final answer
    x = 423,658.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.