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Finding the Third Proportional to 323,146 and 687,764

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Solution

The third proportional to 323,146 and 687,764 is: 1,463,794.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,146 : 687,764 = 687,764 : x
  2. Step 2: Convert to fraction form
    323,146/687,764 = 687,764/x
  3. Step 3: Cross multiply
    323,146x = 687,764 × 687,764
  4. Step 4: Simplify right side
    323,146x = 473,019,319,696
  5. Step 5: Solve for x
    x = 473,019,319,696/323,146
  6. Step 6: Final answer
    x = 1,463,794.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.