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Finding the Third Proportional to 434,577 and 664,785

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Solution

The third proportional to 434,577 and 664,785 is: 1,016,940.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,577 : 664,785 = 664,785 : x
  2. Step 2: Convert to fraction form
    434,577/664,785 = 664,785/x
  3. Step 3: Cross multiply
    434,577x = 664,785 × 664,785
  4. Step 4: Simplify right side
    434,577x = 441,939,096,225
  5. Step 5: Solve for x
    x = 441,939,096,225/434,577
  6. Step 6: Final answer
    x = 1,016,940.83

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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.