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Finding the Third Proportional to 77,672.81 and 103,815.56

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Solution

The third proportional to 77,672.81 and 103,815.56 is: 138,757.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,672.81 : 103,815.56 = 103,815.56 : x
  2. Step 2: Convert to fraction form
    77,672.81/103,815.56 = 103,815.56/x
  3. Step 3: Cross multiply
    77,672.81x = 103,815.56 × 103,815.56
  4. Step 4: Simplify right side
    77,672.81x = 10,777,671,017.19
  5. Step 5: Solve for x
    x = 10,777,671,017.19/77,672.81
  6. Step 6: Final answer
    x = 138,757.32

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.