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Finding the Third Proportional to 156,953 and 339,178

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Solution

The third proportional to 156,953 and 339,178 is: 732,969.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,953 : 339,178 = 339,178 : x
  2. Step 2: Convert to fraction form
    156,953/339,178 = 339,178/x
  3. Step 3: Cross multiply
    156,953x = 339,178 × 339,178
  4. Step 4: Simplify right side
    156,953x = 115,041,715,684
  5. Step 5: Solve for x
    x = 115,041,715,684/156,953
  6. Step 6: Final answer
    x = 732,969.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.