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Finding the Third Proportional to 286,805.25 and 455,519.25

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Solution

The third proportional to 286,805.25 and 455,519.25 is: 723,479.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,805.25 : 455,519.25 = 455,519.25 : x
  2. Step 2: Convert to fraction form
    286,805.25/455,519.25 = 455,519.25/x
  3. Step 3: Cross multiply
    286,805.25x = 455,519.25 × 455,519.25
  4. Step 4: Simplify right side
    286,805.25x = 207,497,787,120.56
  5. Step 5: Solve for x
    x = 207,497,787,120.56/286,805.25
  6. Step 6: Final answer
    x = 723,479.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.