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Finding the Third Proportional to 343,972 and 517,974

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Solution

The third proportional to 343,972 and 517,974 is: 779,996.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,972 : 517,974 = 517,974 : x
  2. Step 2: Convert to fraction form
    343,972/517,974 = 517,974/x
  3. Step 3: Cross multiply
    343,972x = 517,974 × 517,974
  4. Step 4: Simplify right side
    343,972x = 268,297,064,676
  5. Step 5: Solve for x
    x = 268,297,064,676/343,972
  6. Step 6: Final answer
    x = 779,996.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.