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Finding the Third Proportional to 158,115 and 345,414

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Solution

The third proportional to 158,115 and 345,414 is: 754,582.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,115 : 345,414 = 345,414 : x
  2. Step 2: Convert to fraction form
    158,115/345,414 = 345,414/x
  3. Step 3: Cross multiply
    158,115x = 345,414 × 345,414
  4. Step 4: Simplify right side
    158,115x = 119,310,831,396
  5. Step 5: Solve for x
    x = 119,310,831,396/158,115
  6. Step 6: Final answer
    x = 754,582.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.