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Finding the Third Proportional to 102,012 and 143,400.50

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Solution

The third proportional to 102,012 and 143,400.50 is: 201,581.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,012 : 143,400.50 = 143,400.50 : x
  2. Step 2: Convert to fraction form
    102,012/143,400.50 = 143,400.50/x
  3. Step 3: Cross multiply
    102,012x = 143,400.50 × 143,400.50
  4. Step 4: Simplify right side
    102,012x = 20,563,703,400.25
  5. Step 5: Solve for x
    x = 20,563,703,400.25/102,012
  6. Step 6: Final answer
    x = 201,581.22

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.