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Finding the Third Proportional to 15,689.81 and 21,995.44

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Solution

The third proportional to 15,689.81 and 21,995.44 is: 30,835.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,689.81 : 21,995.44 = 21,995.44 : x
  2. Step 2: Convert to fraction form
    15,689.81/21,995.44 = 21,995.44/x
  3. Step 3: Cross multiply
    15,689.81x = 21,995.44 × 21,995.44
  4. Step 4: Simplify right side
    15,689.81x = 483,799,270.82
  5. Step 5: Solve for x
    x = 483,799,270.82/15,689.81
  6. Step 6: Final answer
    x = 30,835.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.