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Finding the Third Proportional to 132,560 and 290,320

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Solution

The third proportional to 132,560 and 290,320 is: 635,830.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,560 : 290,320 = 290,320 : x
  2. Step 2: Convert to fraction form
    132,560/290,320 = 290,320/x
  3. Step 3: Cross multiply
    132,560x = 290,320 × 290,320
  4. Step 4: Simplify right side
    132,560x = 84,285,702,400
  5. Step 5: Solve for x
    x = 84,285,702,400/132,560
  6. Step 6: Final answer
    x = 635,830.59

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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.