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Finding the Third Proportional to 156,639 and 235,306

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Solution

The third proportional to 156,639 and 235,306 is: 353,481.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,639 : 235,306 = 235,306 : x
  2. Step 2: Convert to fraction form
    156,639/235,306 = 235,306/x
  3. Step 3: Cross multiply
    156,639x = 235,306 × 235,306
  4. Step 4: Simplify right side
    156,639x = 55,368,913,636
  5. Step 5: Solve for x
    x = 55,368,913,636/156,639
  6. Step 6: Final answer
    x = 353,481.02

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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.