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Finding the Third Proportional to 358,820 and 845,839

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Solution

The third proportional to 358,820 and 845,839 is: 1,993,878.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,820 : 845,839 = 845,839 : x
  2. Step 2: Convert to fraction form
    358,820/845,839 = 845,839/x
  3. Step 3: Cross multiply
    358,820x = 845,839 × 845,839
  4. Step 4: Simplify right side
    358,820x = 715,443,613,921
  5. Step 5: Solve for x
    x = 715,443,613,921/358,820
  6. Step 6: Final answer
    x = 1,993,878.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.