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Finding the Third Proportional to 156,380.34 and 258,833.53

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Solution

The third proportional to 156,380.34 and 258,833.53 is: 428,409.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,380.34 : 258,833.53 = 258,833.53 : x
  2. Step 2: Convert to fraction form
    156,380.34/258,833.53 = 258,833.53/x
  3. Step 3: Cross multiply
    156,380.34x = 258,833.53 × 258,833.53
  4. Step 4: Simplify right side
    156,380.34x = 66,994,796,899.34
  5. Step 5: Solve for x
    x = 66,994,796,899.34/156,380.34
  6. Step 6: Final answer
    x = 428,409.32

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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.