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Finding the Third Proportional to 96,152 and 203,386

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Solution

The third proportional to 96,152 and 203,386 is: 430,213.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,152 : 203,386 = 203,386 : x
  2. Step 2: Convert to fraction form
    96,152/203,386 = 203,386/x
  3. Step 3: Cross multiply
    96,152x = 203,386 × 203,386
  4. Step 4: Simplify right side
    96,152x = 41,365,864,996
  5. Step 5: Solve for x
    x = 41,365,864,996/96,152
  6. Step 6: Final answer
    x = 430,213.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.