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Finding the Third Proportional to 343,317 and 718,026

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Solution

The third proportional to 343,317 and 718,026 is: 1,501,706.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,317 : 718,026 = 718,026 : x
  2. Step 2: Convert to fraction form
    343,317/718,026 = 718,026/x
  3. Step 3: Cross multiply
    343,317x = 718,026 × 718,026
  4. Step 4: Simplify right side
    343,317x = 515,561,336,676
  5. Step 5: Solve for x
    x = 515,561,336,676/343,317
  6. Step 6: Final answer
    x = 1,501,706.40

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.