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Finding the Third Proportional to 133,150 and 289,810

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Solution

The third proportional to 133,150 and 289,810 is: 630,791.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,150 : 289,810 = 289,810 : x
  2. Step 2: Convert to fraction form
    133,150/289,810 = 289,810/x
  3. Step 3: Cross multiply
    133,150x = 289,810 × 289,810
  4. Step 4: Simplify right side
    133,150x = 83,989,836,100
  5. Step 5: Solve for x
    x = 83,989,836,100/133,150
  6. Step 6: Final answer
    x = 630,791.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.