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Finding the Third Proportional to 103,814 and 143,810.50

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Solution

The third proportional to 103,814 and 143,810.50 is: 199,216.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,814 : 143,810.50 = 143,810.50 : x
  2. Step 2: Convert to fraction form
    103,814/143,810.50 = 143,810.50/x
  3. Step 3: Cross multiply
    103,814x = 143,810.50 × 143,810.50
  4. Step 4: Simplify right side
    103,814x = 20,681,459,910.25
  5. Step 5: Solve for x
    x = 20,681,459,910.25/103,814
  6. Step 6: Final answer
    x = 199,216.48

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.