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Finding the Third Proportional to 512,574 and 788,928.75

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Solution

The third proportional to 512,574 and 788,928.75 is: 1,214,280.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,574 : 788,928.75 = 788,928.75 : x
  2. Step 2: Convert to fraction form
    512,574/788,928.75 = 788,928.75/x
  3. Step 3: Cross multiply
    512,574x = 788,928.75 × 788,928.75
  4. Step 4: Simplify right side
    512,574x = 622,408,572,576.56
  5. Step 5: Solve for x
    x = 622,408,572,576.56/512,574
  6. Step 6: Final answer
    x = 1,214,280.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.