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Finding the Third Proportional to 156,192 and 340,656

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Solution

The third proportional to 156,192 and 340,656 is: 742,973.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,192 : 340,656 = 340,656 : x
  2. Step 2: Convert to fraction form
    156,192/340,656 = 340,656/x
  3. Step 3: Cross multiply
    156,192x = 340,656 × 340,656
  4. Step 4: Simplify right side
    156,192x = 116,046,510,336
  5. Step 5: Solve for x
    x = 116,046,510,336/156,192
  6. Step 6: Final answer
    x = 742,973.46

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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.