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Finding the Third Proportional to 343,942 and 712,184

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Solution

The third proportional to 343,942 and 712,184 is: 1,474,684.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,942 : 712,184 = 712,184 : x
  2. Step 2: Convert to fraction form
    343,942/712,184 = 712,184/x
  3. Step 3: Cross multiply
    343,942x = 712,184 × 712,184
  4. Step 4: Simplify right side
    343,942x = 507,206,049,856
  5. Step 5: Solve for x
    x = 507,206,049,856/343,942
  6. Step 6: Final answer
    x = 1,474,684.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.