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Finding the Third Proportional to 133,460 and 290,212

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Solution

The third proportional to 133,460 and 290,212 is: 631,073.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,460 : 290,212 = 290,212 : x
  2. Step 2: Convert to fraction form
    133,460/290,212 = 290,212/x
  3. Step 3: Cross multiply
    133,460x = 290,212 × 290,212
  4. Step 4: Simplify right side
    133,460x = 84,223,004,944
  5. Step 5: Solve for x
    x = 84,223,004,944/133,460
  6. Step 6: Final answer
    x = 631,073.02

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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.