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Finding the Third Proportional to 133,070 and 288,288

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Solution

The third proportional to 133,070 and 288,288 is: 624,558.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,070 : 288,288 = 288,288 : x
  2. Step 2: Convert to fraction form
    133,070/288,288 = 288,288/x
  3. Step 3: Cross multiply
    133,070x = 288,288 × 288,288
  4. Step 4: Simplify right side
    133,070x = 83,109,970,944
  5. Step 5: Solve for x
    x = 83,109,970,944/133,070
  6. Step 6: Final answer
    x = 624,558.28

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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.