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Finding the Third Proportional to 291,351.75 and 635,657.25

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Solution

The third proportional to 291,351.75 and 635,657.25 is: 1,386,846.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,351.75 : 635,657.25 = 635,657.25 : x
  2. Step 2: Convert to fraction form
    291,351.75/635,657.25 = 635,657.25/x
  3. Step 3: Cross multiply
    291,351.75x = 635,657.25 × 635,657.25
  4. Step 4: Simplify right side
    291,351.75x = 404,060,139,477.56
  5. Step 5: Solve for x
    x = 404,060,139,477.56/291,351.75
  6. Step 6: Final answer
    x = 1,386,846.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.