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Finding the Third Proportional to 4,477.05 and 9,731.51

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Solution

The third proportional to 4,477.05 and 9,731.51 is: 21,152.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.05 : 9,731.51 = 9,731.51 : x
  2. Step 2: Convert to fraction form
    4,477.05/9,731.51 = 9,731.51/x
  3. Step 3: Cross multiply
    4,477.05x = 9,731.51 × 9,731.51
  4. Step 4: Simplify right side
    4,477.05x = 94,702,272.82
  5. Step 5: Solve for x
    x = 94,702,272.82/4,477.05
  6. Step 6: Final answer
    x = 21,152.83

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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.