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Finding the Third Proportional to 2,802.09 and 6,518.29

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Solution

The third proportional to 2,802.09 and 6,518.29 is: 15,162.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.09 : 6,518.29 = 6,518.29 : x
  2. Step 2: Convert to fraction form
    2,802.09/6,518.29 = 6,518.29/x
  3. Step 3: Cross multiply
    2,802.09x = 6,518.29 × 6,518.29
  4. Step 4: Simplify right side
    2,802.09x = 42,488,041.38
  5. Step 5: Solve for x
    x = 42,488,041.38/2,802.09
  6. Step 6: Final answer
    x = 15,162.96

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.