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Finding the Third Proportional to 81,453 and 143,587.50

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Solution

The third proportional to 81,453 and 143,587.50 is: 253,119.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,453 : 143,587.50 = 143,587.50 : x
  2. Step 2: Convert to fraction form
    81,453/143,587.50 = 143,587.50/x
  3. Step 3: Cross multiply
    81,453x = 143,587.50 × 143,587.50
  4. Step 4: Simplify right side
    81,453x = 20,617,370,156.25
  5. Step 5: Solve for x
    x = 20,617,370,156.25/81,453
  6. Step 6: Final answer
    x = 253,119.84

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.