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Finding the Third Proportional to 6,718.78 and 14,328.56

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Solution

The third proportional to 6,718.78 and 14,328.56 is: 30,557.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,718.78 : 14,328.56 = 14,328.56 : x
  2. Step 2: Convert to fraction form
    6,718.78/14,328.56 = 14,328.56/x
  3. Step 3: Cross multiply
    6,718.78x = 14,328.56 × 14,328.56
  4. Step 4: Simplify right side
    6,718.78x = 205,307,703.32
  5. Step 5: Solve for x
    x = 205,307,703.32/6,718.78
  6. Step 6: Final answer
    x = 30,557.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.