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Finding the Third Proportional to 7,643.11 and 18,095.91

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Solution

The third proportional to 7,643.11 and 18,095.91 is: 42,844.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.11 : 18,095.91 = 18,095.91 : x
  2. Step 2: Convert to fraction form
    7,643.11/18,095.91 = 18,095.91/x
  3. Step 3: Cross multiply
    7,643.11x = 18,095.91 × 18,095.91
  4. Step 4: Simplify right side
    7,643.11x = 327,461,823.01
  5. Step 5: Solve for x
    x = 327,461,823.01/7,643.11
  6. Step 6: Final answer
    x = 42,844.06

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.