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Finding the Third Proportional to 214,300 and 291,886

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Solution

The third proportional to 214,300 and 291,886 is: 397,561.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,300 : 291,886 = 291,886 : x
  2. Step 2: Convert to fraction form
    214,300/291,886 = 291,886/x
  3. Step 3: Cross multiply
    214,300x = 291,886 × 291,886
  4. Step 4: Simplify right side
    214,300x = 85,197,436,996
  5. Step 5: Solve for x
    x = 85,197,436,996/214,300
  6. Step 6: Final answer
    x = 397,561.54

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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.