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Finding the Third Proportional to 19,909.13 and 30,908.25

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Solution

The third proportional to 19,909.13 and 30,908.25 is: 47,984.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,909.13 : 30,908.25 = 30,908.25 : x
  2. Step 2: Convert to fraction form
    19,909.13/30,908.25 = 30,908.25/x
  3. Step 3: Cross multiply
    19,909.13x = 30,908.25 × 30,908.25
  4. Step 4: Simplify right side
    19,909.13x = 955,319,918.06
  5. Step 5: Solve for x
    x = 955,319,918.06/19,909.13
  6. Step 6: Final answer
    x = 47,984.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.