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Finding the Third Proportional to 161,821 and 344,053

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Solution

The third proportional to 161,821 and 344,053 is: 731,502.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,821 : 344,053 = 344,053 : x
  2. Step 2: Convert to fraction form
    161,821/344,053 = 344,053/x
  3. Step 3: Cross multiply
    161,821x = 344,053 × 344,053
  4. Step 4: Simplify right side
    161,821x = 118,372,466,809
  5. Step 5: Solve for x
    x = 118,372,466,809/161,821
  6. Step 6: Final answer
    x = 731,502.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.