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Finding the Third Proportional to 156,486 and 234,762.75

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Solution

The third proportional to 156,486 and 234,762.75 is: 352,194.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,486 : 234,762.75 = 234,762.75 : x
  2. Step 2: Convert to fraction form
    156,486/234,762.75 = 234,762.75/x
  3. Step 3: Cross multiply
    156,486x = 234,762.75 × 234,762.75
  4. Step 4: Simplify right side
    156,486x = 55,113,548,787.56
  5. Step 5: Solve for x
    x = 55,113,548,787.56/156,486
  6. Step 6: Final answer
    x = 352,194.76

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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.