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Finding the Third Proportional to 3,264,419.81 and 7,678,405.13

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Solution

The third proportional to 3,264,419.81 and 7,678,405.13 is: 18,060,760.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264,419.81 : 7,678,405.13 = 7,678,405.13 : x
  2. Step 2: Convert to fraction form
    3,264,419.81/7,678,405.13 = 7,678,405.13/x
  3. Step 3: Cross multiply
    3,264,419.81x = 7,678,405.13 × 7,678,405.13
  4. Step 4: Simplify right side
    3,264,419.81x = 58,957,905,263,626.27
  5. Step 5: Solve for x
    x = 58,957,905,263,626.27/3,264,419.81
  6. Step 6: Final answer
    x = 18,060,760.76

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.