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Finding the Third Proportional to 132,108 and 290,460

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Solution

The third proportional to 132,108 and 290,460 is: 638,621.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,108 : 290,460 = 290,460 : x
  2. Step 2: Convert to fraction form
    132,108/290,460 = 290,460/x
  3. Step 3: Cross multiply
    132,108x = 290,460 × 290,460
  4. Step 4: Simplify right side
    132,108x = 84,367,011,600
  5. Step 5: Solve for x
    x = 84,367,011,600/132,108
  6. Step 6: Final answer
    x = 638,621.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.