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Finding the Third Proportional to 10,066.50 and 14,443

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Solution

The third proportional to 10,066.50 and 14,443 is: 20,722.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066.50 : 14,443 = 14,443 : x
  2. Step 2: Convert to fraction form
    10,066.50/14,443 = 14,443/x
  3. Step 3: Cross multiply
    10,066.50x = 14,443 × 14,443
  4. Step 4: Simplify right side
    10,066.50x = 208,600,249
  5. Step 5: Solve for x
    x = 208,600,249/10,066.50
  6. Step 6: Final answer
    x = 20,722.22

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.