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Finding the Third Proportional to 56,489 and 121,734

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Solution

The third proportional to 56,489 and 121,734 is: 262,337.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,489 : 121,734 = 121,734 : x
  2. Step 2: Convert to fraction form
    56,489/121,734 = 121,734/x
  3. Step 3: Cross multiply
    56,489x = 121,734 × 121,734
  4. Step 4: Simplify right side
    56,489x = 14,819,166,756
  5. Step 5: Solve for x
    x = 14,819,166,756/56,489
  6. Step 6: Final answer
    x = 262,337.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.