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Finding the Third Proportional to 332,520.75 and 688,686.75

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Solution

The third proportional to 332,520.75 and 688,686.75 is: 1,426,345.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,520.75 : 688,686.75 = 688,686.75 : x
  2. Step 2: Convert to fraction form
    332,520.75/688,686.75 = 688,686.75/x
  3. Step 3: Cross multiply
    332,520.75x = 688,686.75 × 688,686.75
  4. Step 4: Simplify right side
    332,520.75x = 474,289,439,625.56
  5. Step 5: Solve for x
    x = 474,289,439,625.56/332,520.75
  6. Step 6: Final answer
    x = 1,426,345.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.