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Finding the Third Proportional to 228,909 and 348,689.25

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Solution

The third proportional to 228,909 and 348,689.25 is: 531,146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,909 : 348,689.25 = 348,689.25 : x
  2. Step 2: Convert to fraction form
    228,909/348,689.25 = 348,689.25/x
  3. Step 3: Cross multiply
    228,909x = 348,689.25 × 348,689.25
  4. Step 4: Simplify right side
    228,909x = 121,584,193,065.56
  5. Step 5: Solve for x
    x = 121,584,193,065.56/228,909
  6. Step 6: Final answer
    x = 531,146.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.