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Finding the Third Proportional to 156,689 and 235,380

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Solution

The third proportional to 156,689 and 235,380 is: 353,590.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,689 : 235,380 = 235,380 : x
  2. Step 2: Convert to fraction form
    156,689/235,380 = 235,380/x
  3. Step 3: Cross multiply
    156,689x = 235,380 × 235,380
  4. Step 4: Simplify right side
    156,689x = 55,403,744,400
  5. Step 5: Solve for x
    x = 55,403,744,400/156,689
  6. Step 6: Final answer
    x = 353,590.52

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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.