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Finding the Third Proportional to 238,812 and 500,640

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Solution

The third proportional to 238,812 and 500,640 is: 1,049,530.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,812 : 500,640 = 500,640 : x
  2. Step 2: Convert to fraction form
    238,812/500,640 = 500,640/x
  3. Step 3: Cross multiply
    238,812x = 500,640 × 500,640
  4. Step 4: Simplify right side
    238,812x = 250,640,409,600
  5. Step 5: Solve for x
    x = 250,640,409,600/238,812
  6. Step 6: Final answer
    x = 1,049,530.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.