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Finding the Third Proportional to 156,508 and 340,951

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Solution

The third proportional to 156,508 and 340,951 is: 742,758.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,508 : 340,951 = 340,951 : x
  2. Step 2: Convert to fraction form
    156,508/340,951 = 340,951/x
  3. Step 3: Cross multiply
    156,508x = 340,951 × 340,951
  4. Step 4: Simplify right side
    156,508x = 116,247,584,401
  5. Step 5: Solve for x
    x = 116,247,584,401/156,508
  6. Step 6: Final answer
    x = 742,758.10

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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.