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Finding the Third Proportional to 386,958.75 and 586,280.25

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Solution

The third proportional to 386,958.75 and 586,280.25 is: 888,271.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,958.75 : 586,280.25 = 586,280.25 : x
  2. Step 2: Convert to fraction form
    386,958.75/586,280.25 = 586,280.25/x
  3. Step 3: Cross multiply
    386,958.75x = 586,280.25 × 586,280.25
  4. Step 4: Simplify right side
    386,958.75x = 343,724,531,540.06
  5. Step 5: Solve for x
    x = 343,724,531,540.06/386,958.75
  6. Step 6: Final answer
    x = 888,271.76

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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.