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Finding the Third Proportional to 386,987.63 and 586,333.69

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Solution

The third proportional to 386,987.63 and 586,333.69 is: 888,367.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,987.63 : 586,333.69 = 586,333.69 : x
  2. Step 2: Convert to fraction form
    386,987.63/586,333.69 = 586,333.69/x
  3. Step 3: Cross multiply
    386,987.63x = 586,333.69 × 586,333.69
  4. Step 4: Simplify right side
    386,987.63x = 343,787,193,097.35
  5. Step 5: Solve for x
    x = 343,787,193,097.35/386,987.63
  6. Step 6: Final answer
    x = 888,367.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.