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Finding the Third Proportional to 133,038 and 288,207

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Solution

The third proportional to 133,038 and 288,207 is: 624,357.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,038 : 288,207 = 288,207 : x
  2. Step 2: Convert to fraction form
    133,038/288,207 = 288,207/x
  3. Step 3: Cross multiply
    133,038x = 288,207 × 288,207
  4. Step 4: Simplify right side
    133,038x = 83,063,274,849
  5. Step 5: Solve for x
    x = 83,063,274,849/133,038
  6. Step 6: Final answer
    x = 624,357.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.