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Finding the Third Proportional to 161,882 and 343,490

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Solution

The third proportional to 161,882 and 343,490 is: 728,835.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,882 : 343,490 = 343,490 : x
  2. Step 2: Convert to fraction form
    161,882/343,490 = 343,490/x
  3. Step 3: Cross multiply
    161,882x = 343,490 × 343,490
  4. Step 4: Simplify right side
    161,882x = 117,985,380,100
  5. Step 5: Solve for x
    x = 117,985,380,100/161,882
  6. Step 6: Final answer
    x = 728,835.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.