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Finding the Third Proportional to 3,178,521 and 6,961,686.75

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Solution

The third proportional to 3,178,521 and 6,961,686.75 is: 15,247,683.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178,521 : 6,961,686.75 = 6,961,686.75 : x
  2. Step 2: Convert to fraction form
    3,178,521/6,961,686.75 = 6,961,686.75/x
  3. Step 3: Cross multiply
    3,178,521x = 6,961,686.75 × 6,961,686.75
  4. Step 4: Simplify right side
    3,178,521x = 48,465,082,405,125.56
  5. Step 5: Solve for x
    x = 48,465,082,405,125.56/3,178,521
  6. Step 6: Final answer
    x = 15,247,683.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.