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Finding the Third Proportional to 2,972.32 and 6,439.99

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Solution

The third proportional to 2,972.32 and 6,439.99 is: 13,953.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.32 : 6,439.99 = 6,439.99 : x
  2. Step 2: Convert to fraction form
    2,972.32/6,439.99 = 6,439.99/x
  3. Step 3: Cross multiply
    2,972.32x = 6,439.99 × 6,439.99
  4. Step 4: Simplify right side
    2,972.32x = 41,473,499.38
  5. Step 5: Solve for x
    x = 41,473,499.38/2,972.32
  6. Step 6: Final answer
    x = 13,953.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.