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Finding the Third Proportional to 298,022 and 646,503

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Solution

The third proportional to 298,022 and 646,503 is: 1,402,467.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,022 : 646,503 = 646,503 : x
  2. Step 2: Convert to fraction form
    298,022/646,503 = 646,503/x
  3. Step 3: Cross multiply
    298,022x = 646,503 × 646,503
  4. Step 4: Simplify right side
    298,022x = 417,966,129,009
  5. Step 5: Solve for x
    x = 417,966,129,009/298,022
  6. Step 6: Final answer
    x = 1,402,467.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.