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Finding the Third Proportional to 100,912 and 144,037.50

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Solution

The third proportional to 100,912 and 144,037.50 is: 205,593.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,912 : 144,037.50 = 144,037.50 : x
  2. Step 2: Convert to fraction form
    100,912/144,037.50 = 144,037.50/x
  3. Step 3: Cross multiply
    100,912x = 144,037.50 × 144,037.50
  4. Step 4: Simplify right side
    100,912x = 20,746,801,406.25
  5. Step 5: Solve for x
    x = 20,746,801,406.25/100,912
  6. Step 6: Final answer
    x = 205,593.01

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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.