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Finding the Third Proportional to 153,862 and 347,231

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Solution

The third proportional to 153,862 and 347,231 is: 783,620.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,862 : 347,231 = 347,231 : x
  2. Step 2: Convert to fraction form
    153,862/347,231 = 347,231/x
  3. Step 3: Cross multiply
    153,862x = 347,231 × 347,231
  4. Step 4: Simplify right side
    153,862x = 120,569,367,361
  5. Step 5: Solve for x
    x = 120,569,367,361/153,862
  6. Step 6: Final answer
    x = 783,620.17

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.