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Finding the Third Proportional to 4,623.19 and 5,124.38

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Solution

The third proportional to 4,623.19 and 5,124.38 is: 5,679.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,623.19 : 5,124.38 = 5,124.38 : x
  2. Step 2: Convert to fraction form
    4,623.19/5,124.38 = 5,124.38/x
  3. Step 3: Cross multiply
    4,623.19x = 5,124.38 × 5,124.38
  4. Step 4: Simplify right side
    4,623.19x = 26,259,219.14
  5. Step 5: Solve for x
    x = 26,259,219.14/4,623.19
  6. Step 6: Final answer
    x = 5,679.89

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.