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Finding the Third Proportional to 132,958 and 290,948

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Solution

The third proportional to 132,958 and 290,948 is: 636,672.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,958 : 290,948 = 290,948 : x
  2. Step 2: Convert to fraction form
    132,958/290,948 = 290,948/x
  3. Step 3: Cross multiply
    132,958x = 290,948 × 290,948
  4. Step 4: Simplify right side
    132,958x = 84,650,738,704
  5. Step 5: Solve for x
    x = 84,650,738,704/132,958
  6. Step 6: Final answer
    x = 636,672.77

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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.