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Finding the Third Proportional to 156,381 and 258,834.75

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Solution

The third proportional to 156,381 and 258,834.75 is: 428,411.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,381 : 258,834.75 = 258,834.75 : x
  2. Step 2: Convert to fraction form
    156,381/258,834.75 = 258,834.75/x
  3. Step 3: Cross multiply
    156,381x = 258,834.75 × 258,834.75
  4. Step 4: Simplify right side
    156,381x = 66,995,427,807.56
  5. Step 5: Solve for x
    x = 66,995,427,807.56/156,381
  6. Step 6: Final answer
    x = 428,411.56

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.