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Finding the Third Proportional to 283,490 and 434,991

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Solution

The third proportional to 283,490 and 434,991 is: 667,456.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,490 : 434,991 = 434,991 : x
  2. Step 2: Convert to fraction form
    283,490/434,991 = 434,991/x
  3. Step 3: Cross multiply
    283,490x = 434,991 × 434,991
  4. Step 4: Simplify right side
    283,490x = 189,217,170,081
  5. Step 5: Solve for x
    x = 189,217,170,081/283,490
  6. Step 6: Final answer
    x = 667,456.24

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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.