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Finding the Third Proportional to 5,359 and 8,345.25

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Solution

The third proportional to 5,359 and 8,345.25 is: 12,995.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,359 : 8,345.25 = 8,345.25 : x
  2. Step 2: Convert to fraction form
    5,359/8,345.25 = 8,345.25/x
  3. Step 3: Cross multiply
    5,359x = 8,345.25 × 8,345.25
  4. Step 4: Simplify right side
    5,359x = 69,643,197.56
  5. Step 5: Solve for x
    x = 69,643,197.56/5,359
  6. Step 6: Final answer
    x = 12,995.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.