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Finding the Third Proportional to 80,451 and 133,312.50

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Solution

The third proportional to 80,451 and 133,312.50 is: 220,907.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,451 : 133,312.50 = 133,312.50 : x
  2. Step 2: Convert to fraction form
    80,451/133,312.50 = 133,312.50/x
  3. Step 3: Cross multiply
    80,451x = 133,312.50 × 133,312.50
  4. Step 4: Simplify right side
    80,451x = 17,772,222,656.25
  5. Step 5: Solve for x
    x = 17,772,222,656.25/80,451
  6. Step 6: Final answer
    x = 220,907.42

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.