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Finding the Third Proportional to 135,456 and 290,352

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Solution

The third proportional to 135,456 and 290,352 is: 622,373.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,456 : 290,352 = 290,352 : x
  2. Step 2: Convert to fraction form
    135,456/290,352 = 290,352/x
  3. Step 3: Cross multiply
    135,456x = 290,352 × 290,352
  4. Step 4: Simplify right side
    135,456x = 84,304,283,904
  5. Step 5: Solve for x
    x = 84,304,283,904/135,456
  6. Step 6: Final answer
    x = 622,373.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.