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Finding the Third Proportional to 156,778 and 343,579

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Solution

The third proportional to 156,778 and 343,579 is: 752,953.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,778 : 343,579 = 343,579 : x
  2. Step 2: Convert to fraction form
    156,778/343,579 = 343,579/x
  3. Step 3: Cross multiply
    156,778x = 343,579 × 343,579
  4. Step 4: Simplify right side
    156,778x = 118,046,529,241
  5. Step 5: Solve for x
    x = 118,046,529,241/156,778
  6. Step 6: Final answer
    x = 752,953.41

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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.