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Finding the Third Proportional to 20,306.81 and 30,291.75

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Solution

The third proportional to 20,306.81 and 30,291.75 is: 45,186.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,306.81 : 30,291.75 = 30,291.75 : x
  2. Step 2: Convert to fraction form
    20,306.81/30,291.75 = 30,291.75/x
  3. Step 3: Cross multiply
    20,306.81x = 30,291.75 × 30,291.75
  4. Step 4: Simplify right side
    20,306.81x = 917,590,118.06
  5. Step 5: Solve for x
    x = 917,590,118.06/20,306.81
  6. Step 6: Final answer
    x = 45,186.32

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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.