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Finding the Third Proportional to 231,705 and 358,198

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Solution

The third proportional to 231,705 and 358,198 is: 553,746.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,705 : 358,198 = 358,198 : x
  2. Step 2: Convert to fraction form
    231,705/358,198 = 358,198/x
  3. Step 3: Cross multiply
    231,705x = 358,198 × 358,198
  4. Step 4: Simplify right side
    231,705x = 128,305,807,204
  5. Step 5: Solve for x
    x = 128,305,807,204/231,705
  6. Step 6: Final answer
    x = 553,746.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.