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Finding the Third Proportional to 10,761.19 and 22,804.88

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Solution

The third proportional to 10,761.19 and 22,804.88 is: 48,327.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.19 : 22,804.88 = 22,804.88 : x
  2. Step 2: Convert to fraction form
    10,761.19/22,804.88 = 22,804.88/x
  3. Step 3: Cross multiply
    10,761.19x = 22,804.88 × 22,804.88
  4. Step 4: Simplify right side
    10,761.19x = 520,062,323.77
  5. Step 5: Solve for x
    x = 520,062,323.77/10,761.19
  6. Step 6: Final answer
    x = 48,327.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.