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Finding the Third Proportional to 156,465 and 320,367

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Solution

The third proportional to 156,465 and 320,367 is: 655,961.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,465 : 320,367 = 320,367 : x
  2. Step 2: Convert to fraction form
    156,465/320,367 = 320,367/x
  3. Step 3: Cross multiply
    156,465x = 320,367 × 320,367
  4. Step 4: Simplify right side
    156,465x = 102,635,014,689
  5. Step 5: Solve for x
    x = 102,635,014,689/156,465
  6. Step 6: Final answer
    x = 655,961.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.