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Finding the Third Proportional to 156,210 and 340,688

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Solution

The third proportional to 156,210 and 340,688 is: 743,027.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,210 : 340,688 = 340,688 : x
  2. Step 2: Convert to fraction form
    156,210/340,688 = 340,688/x
  3. Step 3: Cross multiply
    156,210x = 340,688 × 340,688
  4. Step 4: Simplify right side
    156,210x = 116,068,313,344
  5. Step 5: Solve for x
    x = 116,068,313,344/156,210
  6. Step 6: Final answer
    x = 743,027.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.