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Finding the Third Proportional to 156,966 and 340,140

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Solution

The third proportional to 156,966 and 340,140 is: 737,071.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,966 : 340,140 = 340,140 : x
  2. Step 2: Convert to fraction form
    156,966/340,140 = 340,140/x
  3. Step 3: Cross multiply
    156,966x = 340,140 × 340,140
  4. Step 4: Simplify right side
    156,966x = 115,695,219,600
  5. Step 5: Solve for x
    x = 115,695,219,600/156,966
  6. Step 6: Final answer
    x = 737,071.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.