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Finding the Third Proportional to 5,582.18 and 11,973.80

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Solution

The third proportional to 5,582.18 and 11,973.80 is: 25,683.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.18 : 11,973.80 = 11,973.80 : x
  2. Step 2: Convert to fraction form
    5,582.18/11,973.80 = 11,973.80/x
  3. Step 3: Cross multiply
    5,582.18x = 11,973.80 × 11,973.80
  4. Step 4: Simplify right side
    5,582.18x = 143,371,916.84
  5. Step 5: Solve for x
    x = 143,371,916.84/5,582.18
  6. Step 6: Final answer
    x = 25,683.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.