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Finding the Third Proportional to 135,506 and 204,258

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Solution

The third proportional to 135,506 and 204,258 is: 307,892.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,506 : 204,258 = 204,258 : x
  2. Step 2: Convert to fraction form
    135,506/204,258 = 204,258/x
  3. Step 3: Cross multiply
    135,506x = 204,258 × 204,258
  4. Step 4: Simplify right side
    135,506x = 41,721,330,564
  5. Step 5: Solve for x
    x = 41,721,330,564/135,506
  6. Step 6: Final answer
    x = 307,892.86

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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.