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Finding the Third Proportional to 214,801.50 and 315,625.25

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Solution

The third proportional to 214,801.50 and 315,625.25 is: 463,773.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,801.50 : 315,625.25 = 315,625.25 : x
  2. Step 2: Convert to fraction form
    214,801.50/315,625.25 = 315,625.25/x
  3. Step 3: Cross multiply
    214,801.50x = 315,625.25 × 315,625.25
  4. Step 4: Simplify right side
    214,801.50x = 99,619,298,437.56
  5. Step 5: Solve for x
    x = 99,619,298,437.56/214,801.50
  6. Step 6: Final answer
    x = 463,773.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.