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Finding the Third Proportional to 389,458.13 and 818,277.19

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Solution

The third proportional to 389,458.13 and 818,277.19 is: 1,719,254.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,458.13 : 818,277.19 = 818,277.19 : x
  2. Step 2: Convert to fraction form
    389,458.13/818,277.19 = 818,277.19/x
  3. Step 3: Cross multiply
    389,458.13x = 818,277.19 × 818,277.19
  4. Step 4: Simplify right side
    389,458.13x = 669,577,555,582.91
  5. Step 5: Solve for x
    x = 669,577,555,582.91/389,458.13
  6. Step 6: Final answer
    x = 1,719,254.30

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.