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Finding the Third Proportional to 214,720 and 291,584

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Solution

The third proportional to 214,720 and 291,584 is: 395,963.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,720 : 291,584 = 291,584 : x
  2. Step 2: Convert to fraction form
    214,720/291,584 = 291,584/x
  3. Step 3: Cross multiply
    214,720x = 291,584 × 291,584
  4. Step 4: Simplify right side
    214,720x = 85,021,229,056
  5. Step 5: Solve for x
    x = 85,021,229,056/214,720
  6. Step 6: Final answer
    x = 395,963.25

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.