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Finding the Third Proportional to 220,953 and 345,642

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Solution

The third proportional to 220,953 and 345,642 is: 540,695.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,953 : 345,642 = 345,642 : x
  2. Step 2: Convert to fraction form
    220,953/345,642 = 345,642/x
  3. Step 3: Cross multiply
    220,953x = 345,642 × 345,642
  4. Step 4: Simplify right side
    220,953x = 119,468,392,164
  5. Step 5: Solve for x
    x = 119,468,392,164/220,953
  6. Step 6: Final answer
    x = 540,695.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.