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Finding the Third Proportional to 160,603 and 345,872

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Solution

The third proportional to 160,603 and 345,872 is: 744,864.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,603 : 345,872 = 345,872 : x
  2. Step 2: Convert to fraction form
    160,603/345,872 = 345,872/x
  3. Step 3: Cross multiply
    160,603x = 345,872 × 345,872
  4. Step 4: Simplify right side
    160,603x = 119,627,440,384
  5. Step 5: Solve for x
    x = 119,627,440,384/160,603
  6. Step 6: Final answer
    x = 744,864.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.