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Finding the Third Proportional to 8,628.40 and 18,128.18

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Solution

The third proportional to 8,628.40 and 18,128.18 is: 38,087.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,628.40 : 18,128.18 = 18,128.18 : x
  2. Step 2: Convert to fraction form
    8,628.40/18,128.18 = 18,128.18/x
  3. Step 3: Cross multiply
    8,628.40x = 18,128.18 × 18,128.18
  4. Step 4: Simplify right side
    8,628.40x = 328,630,898.78
  5. Step 5: Solve for x
    x = 328,630,898.78/8,628.40
  6. Step 6: Final answer
    x = 38,087.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.