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Finding the Third Proportional to 322,136 and 727,788

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Solution

The third proportional to 322,136 and 727,788 is: 1,644,260.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,136 : 727,788 = 727,788 : x
  2. Step 2: Convert to fraction form
    322,136/727,788 = 727,788/x
  3. Step 3: Cross multiply
    322,136x = 727,788 × 727,788
  4. Step 4: Simplify right side
    322,136x = 529,675,372,944
  5. Step 5: Solve for x
    x = 529,675,372,944/322,136
  6. Step 6: Final answer
    x = 1,644,260.10

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.