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Finding the Third Proportional to 156,939 and 343,038

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Solution

The third proportional to 156,939 and 343,038 is: 749,814.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,939 : 343,038 = 343,038 : x
  2. Step 2: Convert to fraction form
    156,939/343,038 = 343,038/x
  3. Step 3: Cross multiply
    156,939x = 343,038 × 343,038
  4. Step 4: Simplify right side
    156,939x = 117,675,069,444
  5. Step 5: Solve for x
    x = 117,675,069,444/156,939
  6. Step 6: Final answer
    x = 749,814.06

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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.