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Finding the Third Proportional to 878,715 and 1,406,517.75

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Solution

The third proportional to 878,715 and 1,406,517.75 is: 2,251,346.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,715 : 1,406,517.75 = 1,406,517.75 : x
  2. Step 2: Convert to fraction form
    878,715/1,406,517.75 = 1,406,517.75/x
  3. Step 3: Cross multiply
    878,715x = 1,406,517.75 × 1,406,517.75
  4. Step 4: Simplify right side
    878,715x = 1,978,292,181,065.06
  5. Step 5: Solve for x
    x = 1,978,292,181,065.06/878,715
  6. Step 6: Final answer
    x = 2,251,346.77

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.