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Finding the Third Proportional to 133,697 and 290,448

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Solution

The third proportional to 133,697 and 290,448 is: 630,979.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,697 : 290,448 = 290,448 : x
  2. Step 2: Convert to fraction form
    133,697/290,448 = 290,448/x
  3. Step 3: Cross multiply
    133,697x = 290,448 × 290,448
  4. Step 4: Simplify right side
    133,697x = 84,360,040,704
  5. Step 5: Solve for x
    x = 84,360,040,704/133,697
  6. Step 6: Final answer
    x = 630,979.31

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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.