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Finding the Third Proportional to 214,629 and 291,495

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Solution

The third proportional to 214,629 and 291,495 is: 395,889.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,629 : 291,495 = 291,495 : x
  2. Step 2: Convert to fraction form
    214,629/291,495 = 291,495/x
  3. Step 3: Cross multiply
    214,629x = 291,495 × 291,495
  4. Step 4: Simplify right side
    214,629x = 84,969,335,025
  5. Step 5: Solve for x
    x = 84,969,335,025/214,629
  6. Step 6: Final answer
    x = 395,889.35

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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.