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Finding the Third Proportional to 161,572 and 343,880

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Solution

The third proportional to 161,572 and 343,880 is: 731,893.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,572 : 343,880 = 343,880 : x
  2. Step 2: Convert to fraction form
    161,572/343,880 = 343,880/x
  3. Step 3: Cross multiply
    161,572x = 343,880 × 343,880
  4. Step 4: Simplify right side
    161,572x = 118,253,454,400
  5. Step 5: Solve for x
    x = 118,253,454,400/161,572
  6. Step 6: Final answer
    x = 731,893.24

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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.