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Finding the Third Proportional to 133,360 and 290,687

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Solution

The third proportional to 133,360 and 290,687 is: 633,615.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,360 : 290,687 = 290,687 : x
  2. Step 2: Convert to fraction form
    133,360/290,687 = 290,687/x
  3. Step 3: Cross multiply
    133,360x = 290,687 × 290,687
  4. Step 4: Simplify right side
    133,360x = 84,498,931,969
  5. Step 5: Solve for x
    x = 84,498,931,969/133,360
  6. Step 6: Final answer
    x = 633,615.27

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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.