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Finding the Third Proportional to 56,489 and 120,485

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Solution

The third proportional to 56,489 and 120,485 is: 256,981.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,489 : 120,485 = 120,485 : x
  2. Step 2: Convert to fraction form
    56,489/120,485 = 120,485/x
  3. Step 3: Cross multiply
    56,489x = 120,485 × 120,485
  4. Step 4: Simplify right side
    56,489x = 14,516,635,225
  5. Step 5: Solve for x
    x = 14,516,635,225/56,489
  6. Step 6: Final answer
    x = 256,981.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.