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Finding the Third Proportional to 156,931 and 343,022

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Solution

The third proportional to 156,931 and 343,022 is: 749,782.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,931 : 343,022 = 343,022 : x
  2. Step 2: Convert to fraction form
    156,931/343,022 = 343,022/x
  3. Step 3: Cross multiply
    156,931x = 343,022 × 343,022
  4. Step 4: Simplify right side
    156,931x = 117,664,092,484
  5. Step 5: Solve for x
    x = 117,664,092,484/156,931
  6. Step 6: Final answer
    x = 749,782.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.