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Finding the Third Proportional to 8,564.50 and 18,681.25

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Solution

The third proportional to 8,564.50 and 18,681.25 is: 40,748.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.50 : 18,681.25 = 18,681.25 : x
  2. Step 2: Convert to fraction form
    8,564.50/18,681.25 = 18,681.25/x
  3. Step 3: Cross multiply
    8,564.50x = 18,681.25 × 18,681.25
  4. Step 4: Simplify right side
    8,564.50x = 348,989,101.56
  5. Step 5: Solve for x
    x = 348,989,101.56/8,564.50
  6. Step 6: Final answer
    x = 40,748.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.