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Finding the Third Proportional to 2,792 and 6,566.50

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Solution

The third proportional to 2,792 and 6,566.50 is: 15,443.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792 : 6,566.50 = 6,566.50 : x
  2. Step 2: Convert to fraction form
    2,792/6,566.50 = 6,566.50/x
  3. Step 3: Cross multiply
    2,792x = 6,566.50 × 6,566.50
  4. Step 4: Simplify right side
    2,792x = 43,118,922.25
  5. Step 5: Solve for x
    x = 43,118,922.25/2,792
  6. Step 6: Final answer
    x = 15,443.74

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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.