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Finding the Third Proportional to 291,321.75 and 635,601.50

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Solution

The third proportional to 291,321.75 and 635,601.50 is: 1,386,745.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,321.75 : 635,601.50 = 635,601.50 : x
  2. Step 2: Convert to fraction form
    291,321.75/635,601.50 = 635,601.50/x
  3. Step 3: Cross multiply
    291,321.75x = 635,601.50 × 635,601.50
  4. Step 4: Simplify right side
    291,321.75x = 403,989,266,802.25
  5. Step 5: Solve for x
    x = 403,989,266,802.25/291,321.75
  6. Step 6: Final answer
    x = 1,386,745.98

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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.