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Finding the Third Proportional to 110,833 and 229,550

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Solution

The third proportional to 110,833 and 229,550 is: 475,428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,833 : 229,550 = 229,550 : x
  2. Step 2: Convert to fraction form
    110,833/229,550 = 229,550/x
  3. Step 3: Cross multiply
    110,833x = 229,550 × 229,550
  4. Step 4: Simplify right side
    110,833x = 52,693,202,500
  5. Step 5: Solve for x
    x = 52,693,202,500/110,833
  6. Step 6: Final answer
    x = 475,428.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.