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Finding the Third Proportional to 7,044 and 15,118.50

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Solution

The third proportional to 7,044 and 15,118.50 is: 32,448.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,044 : 15,118.50 = 15,118.50 : x
  2. Step 2: Convert to fraction form
    7,044/15,118.50 = 15,118.50/x
  3. Step 3: Cross multiply
    7,044x = 15,118.50 × 15,118.50
  4. Step 4: Simplify right side
    7,044x = 228,569,042.25
  5. Step 5: Solve for x
    x = 228,569,042.25/7,044
  6. Step 6: Final answer
    x = 32,448.76

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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.