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Finding the Third Proportional to 5,477.63 and 7,122.09

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Solution

The third proportional to 5,477.63 and 7,122.09 is: 9,260.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.63 : 7,122.09 = 7,122.09 : x
  2. Step 2: Convert to fraction form
    5,477.63/7,122.09 = 7,122.09/x
  3. Step 3: Cross multiply
    5,477.63x = 7,122.09 × 7,122.09
  4. Step 4: Simplify right side
    5,477.63x = 50,724,219.38
  5. Step 5: Solve for x
    x = 50,724,219.38/5,477.63
  6. Step 6: Final answer
    x = 9,260.26

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.