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Finding the Third Proportional to 56,433 and 122,586

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Solution

The third proportional to 56,433 and 122,586 is: 266,286.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,433 : 122,586 = 122,586 : x
  2. Step 2: Convert to fraction form
    56,433/122,586 = 122,586/x
  3. Step 3: Cross multiply
    56,433x = 122,586 × 122,586
  4. Step 4: Simplify right side
    56,433x = 15,027,327,396
  5. Step 5: Solve for x
    x = 15,027,327,396/56,433
  6. Step 6: Final answer
    x = 266,286.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.