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Finding the Third Proportional to 291,142.13 and 636,257.25

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Solution

The third proportional to 291,142.13 and 636,257.25 is: 1,390,466.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,142.13 : 636,257.25 = 636,257.25 : x
  2. Step 2: Convert to fraction form
    291,142.13/636,257.25 = 636,257.25/x
  3. Step 3: Cross multiply
    291,142.13x = 636,257.25 × 636,257.25
  4. Step 4: Simplify right side
    291,142.13x = 404,823,288,177.56
  5. Step 5: Solve for x
    x = 404,823,288,177.56/291,142.13
  6. Step 6: Final answer
    x = 1,390,466.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.