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Finding the Third Proportional to 156,639 and 235,651

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Solution

The third proportional to 156,639 and 235,651 is: 354,518.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,639 : 235,651 = 235,651 : x
  2. Step 2: Convert to fraction form
    156,639/235,651 = 235,651/x
  3. Step 3: Cross multiply
    156,639x = 235,651 × 235,651
  4. Step 4: Simplify right side
    156,639x = 55,531,393,801
  5. Step 5: Solve for x
    x = 55,531,393,801/156,639
  6. Step 6: Final answer
    x = 354,518.31

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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.