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Finding the Third Proportional to 344,286.75 and 516,430.88

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Solution

The third proportional to 344,286.75 and 516,430.88 is: 774,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,286.75 : 516,430.88 = 516,430.88 : x
  2. Step 2: Convert to fraction form
    344,286.75/516,430.88 = 516,430.88/x
  3. Step 3: Cross multiply
    344,286.75x = 516,430.88 × 516,430.88
  4. Step 4: Simplify right side
    344,286.75x = 266,700,848,653.27
  5. Step 5: Solve for x
    x = 266,700,848,653.27/344,286.75
  6. Step 6: Final answer
    x = 774,647.44

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Why These Related Problems?

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