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Finding the Third Proportional to 3,886.31 and 8,509.22

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Solution

The third proportional to 3,886.31 and 8,509.22 is: 18,631.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.31 : 8,509.22 = 8,509.22 : x
  2. Step 2: Convert to fraction form
    3,886.31/8,509.22 = 8,509.22/x
  3. Step 3: Cross multiply
    3,886.31x = 8,509.22 × 8,509.22
  4. Step 4: Simplify right side
    3,886.31x = 72,406,803.74
  5. Step 5: Solve for x
    x = 72,406,803.74/3,886.31
  6. Step 6: Final answer
    x = 18,631.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.