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Finding the Third Proportional to 161,478 and 347,634

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Solution

The third proportional to 161,478 and 347,634 is: 748,395.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,478 : 347,634 = 347,634 : x
  2. Step 2: Convert to fraction form
    161,478/347,634 = 347,634/x
  3. Step 3: Cross multiply
    161,478x = 347,634 × 347,634
  4. Step 4: Simplify right side
    161,478x = 120,849,397,956
  5. Step 5: Solve for x
    x = 120,849,397,956/161,478
  6. Step 6: Final answer
    x = 748,395.43

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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.