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Finding the Third Proportional to 413,243 and 638,567

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Solution

The third proportional to 413,243 and 638,567 is: 986,750.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,243 : 638,567 = 638,567 : x
  2. Step 2: Convert to fraction form
    413,243/638,567 = 638,567/x
  3. Step 3: Cross multiply
    413,243x = 638,567 × 638,567
  4. Step 4: Simplify right side
    413,243x = 407,767,813,489
  5. Step 5: Solve for x
    x = 407,767,813,489/413,243
  6. Step 6: Final answer
    x = 986,750.69

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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.