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Finding the Third Proportional to 312,102 and 408,063

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Solution

The third proportional to 312,102 and 408,063 is: 533,528.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,102 : 408,063 = 408,063 : x
  2. Step 2: Convert to fraction form
    312,102/408,063 = 408,063/x
  3. Step 3: Cross multiply
    312,102x = 408,063 × 408,063
  4. Step 4: Simplify right side
    312,102x = 166,515,411,969
  5. Step 5: Solve for x
    x = 166,515,411,969/312,102
  6. Step 6: Final answer
    x = 533,528.82

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.