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Finding the Third Proportional to 156,377 and 340,821

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Solution

The third proportional to 156,377 and 340,821 is: 742,813.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,377 : 340,821 = 340,821 : x
  2. Step 2: Convert to fraction form
    156,377/340,821 = 340,821/x
  3. Step 3: Cross multiply
    156,377x = 340,821 × 340,821
  4. Step 4: Simplify right side
    156,377x = 116,158,954,041
  5. Step 5: Solve for x
    x = 116,158,954,041/156,377
  6. Step 6: Final answer
    x = 742,813.55

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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.