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Finding the Third Proportional to 133,484 and 290,200

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Solution

The third proportional to 133,484 and 290,200 is: 630,907.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,484 : 290,200 = 290,200 : x
  2. Step 2: Convert to fraction form
    133,484/290,200 = 290,200/x
  3. Step 3: Cross multiply
    133,484x = 290,200 × 290,200
  4. Step 4: Simplify right side
    133,484x = 84,216,040,000
  5. Step 5: Solve for x
    x = 84,216,040,000/133,484
  6. Step 6: Final answer
    x = 630,907.37

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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.