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Finding the Third Proportional to 204,788 and 320,560

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Solution

The third proportional to 204,788 and 320,560 is: 501,780.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,788 : 320,560 = 320,560 : x
  2. Step 2: Convert to fraction form
    204,788/320,560 = 320,560/x
  3. Step 3: Cross multiply
    204,788x = 320,560 × 320,560
  4. Step 4: Simplify right side
    204,788x = 102,758,713,600
  5. Step 5: Solve for x
    x = 102,758,713,600/204,788
  6. Step 6: Final answer
    x = 501,780.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.