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Finding the Third Proportional to 3,071.77 and 4,633.10

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Solution

The third proportional to 3,071.77 and 4,633.10 is: 6,988.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.77 : 4,633.10 = 4,633.10 : x
  2. Step 2: Convert to fraction form
    3,071.77/4,633.10 = 4,633.10/x
  3. Step 3: Cross multiply
    3,071.77x = 4,633.10 × 4,633.10
  4. Step 4: Simplify right side
    3,071.77x = 21,465,630.09
  5. Step 5: Solve for x
    x = 21,465,630.09/3,071.77
  6. Step 6: Final answer
    x = 6,988.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.