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Finding the Third Proportional to 378,667.13 and 810,527.63

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Solution

The third proportional to 378,667.13 and 810,527.63 is: 1,734,914.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,667.13 : 810,527.63 = 810,527.63 : x
  2. Step 2: Convert to fraction form
    378,667.13/810,527.63 = 810,527.63/x
  3. Step 3: Cross multiply
    378,667.13x = 810,527.63 × 810,527.63
  4. Step 4: Simplify right side
    378,667.13x = 656,955,030,888.14
  5. Step 5: Solve for x
    x = 656,955,030,888.14/378,667.13
  6. Step 6: Final answer
    x = 1,734,914.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.