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Finding the Third Proportional to 132,972 and 290,968

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Solution

The third proportional to 132,972 and 290,968 is: 636,693.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,972 : 290,968 = 290,968 : x
  2. Step 2: Convert to fraction form
    132,972/290,968 = 290,968/x
  3. Step 3: Cross multiply
    132,972x = 290,968 × 290,968
  4. Step 4: Simplify right side
    132,972x = 84,662,377,024
  5. Step 5: Solve for x
    x = 84,662,377,024/132,972
  6. Step 6: Final answer
    x = 636,693.27

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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.