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Finding the Third Proportional to 21,400.88 and 31,983.19

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Solution

The third proportional to 21,400.88 and 31,983.19 is: 47,798.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,400.88 : 31,983.19 = 31,983.19 : x
  2. Step 2: Convert to fraction form
    21,400.88/31,983.19 = 31,983.19/x
  3. Step 3: Cross multiply
    21,400.88x = 31,983.19 × 31,983.19
  4. Step 4: Simplify right side
    21,400.88x = 1,022,924,282.66
  5. Step 5: Solve for x
    x = 1,022,924,282.66/21,400.88
  6. Step 6: Final answer
    x = 47,798.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.