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Finding the Third Proportional to 156,471 and 235,455

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Solution

The third proportional to 156,471 and 235,455 is: 354,308.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,471 : 235,455 = 235,455 : x
  2. Step 2: Convert to fraction form
    156,471/235,455 = 235,455/x
  3. Step 3: Cross multiply
    156,471x = 235,455 × 235,455
  4. Step 4: Simplify right side
    156,471x = 55,439,057,025
  5. Step 5: Solve for x
    x = 55,439,057,025/156,471
  6. Step 6: Final answer
    x = 354,308.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.