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Finding the Third Proportional to 7,209 and 15,983.63

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Solution

The third proportional to 7,209 and 15,983.63 is: 35,438.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209 : 15,983.63 = 15,983.63 : x
  2. Step 2: Convert to fraction form
    7,209/15,983.63 = 15,983.63/x
  3. Step 3: Cross multiply
    7,209x = 15,983.63 × 15,983.63
  4. Step 4: Simplify right side
    7,209x = 255,476,268.14
  5. Step 5: Solve for x
    x = 255,476,268.14/7,209
  6. Step 6: Final answer
    x = 35,438.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.