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Finding the Third Proportional to 321,931.75 and 498,020.75

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Solution

The third proportional to 321,931.75 and 498,020.75 is: 770,426.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,931.75 : 498,020.75 = 498,020.75 : x
  2. Step 2: Convert to fraction form
    321,931.75/498,020.75 = 498,020.75/x
  3. Step 3: Cross multiply
    321,931.75x = 498,020.75 × 498,020.75
  4. Step 4: Simplify right side
    321,931.75x = 248,024,667,430.56
  5. Step 5: Solve for x
    x = 248,024,667,430.56/321,931.75
  6. Step 6: Final answer
    x = 770,426.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.