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Finding the Third Proportional to 132,958 and 290,864

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Solution

The third proportional to 132,958 and 290,864 is: 636,305.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,958 : 290,864 = 290,864 : x
  2. Step 2: Convert to fraction form
    132,958/290,864 = 290,864/x
  3. Step 3: Cross multiply
    132,958x = 290,864 × 290,864
  4. Step 4: Simplify right side
    132,958x = 84,601,866,496
  5. Step 5: Solve for x
    x = 84,601,866,496/132,958
  6. Step 6: Final answer
    x = 636,305.20

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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.