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Finding the Third Proportional to 434,658.75 and 664,896.56

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Solution

The third proportional to 434,658.75 and 664,896.56 is: 1,017,090.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,658.75 : 664,896.56 = 664,896.56 : x
  2. Step 2: Convert to fraction form
    434,658.75/664,896.56 = 664,896.56/x
  3. Step 3: Cross multiply
    434,658.75x = 664,896.56 × 664,896.56
  4. Step 4: Simplify right side
    434,658.75x = 442,087,438,824.32
  5. Step 5: Solve for x
    x = 442,087,438,824.32/434,658.75
  6. Step 6: Final answer
    x = 1,017,090.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.