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Finding the Third Proportional to 206,154 and 312,102

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Solution

The third proportional to 206,154 and 312,102 is: 472,499.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,154 : 312,102 = 312,102 : x
  2. Step 2: Convert to fraction form
    206,154/312,102 = 312,102/x
  3. Step 3: Cross multiply
    206,154x = 312,102 × 312,102
  4. Step 4: Simplify right side
    206,154x = 97,407,658,404
  5. Step 5: Solve for x
    x = 97,407,658,404/206,154
  6. Step 6: Final answer
    x = 472,499.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.