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Finding the Third Proportional to 479,121 and 718,693.50

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Solution

The third proportional to 479,121 and 718,693.50 is: 1,078,058.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,121 : 718,693.50 = 718,693.50 : x
  2. Step 2: Convert to fraction form
    479,121/718,693.50 = 718,693.50/x
  3. Step 3: Cross multiply
    479,121x = 718,693.50 × 718,693.50
  4. Step 4: Simplify right side
    479,121x = 516,520,346,942.25
  5. Step 5: Solve for x
    x = 516,520,346,942.25/479,121
  6. Step 6: Final answer
    x = 1,078,058.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.