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Finding the Third Proportional to 132,960 and 290,952

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Solution

The third proportional to 132,960 and 290,952 is: 636,680.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,960 : 290,952 = 290,952 : x
  2. Step 2: Convert to fraction form
    132,960/290,952 = 290,952/x
  3. Step 3: Cross multiply
    132,960x = 290,952 × 290,952
  4. Step 4: Simplify right side
    132,960x = 84,653,066,304
  5. Step 5: Solve for x
    x = 84,653,066,304/132,960
  6. Step 6: Final answer
    x = 636,680.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.