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Finding the Third Proportional to 298,932 and 646,708

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Solution

The third proportional to 298,932 and 646,708 is: 1,399,084.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,932 : 646,708 = 646,708 : x
  2. Step 2: Convert to fraction form
    298,932/646,708 = 646,708/x
  3. Step 3: Cross multiply
    298,932x = 646,708 × 646,708
  4. Step 4: Simplify right side
    298,932x = 418,231,237,264
  5. Step 5: Solve for x
    x = 418,231,237,264/298,932
  6. Step 6: Final answer
    x = 1,399,084.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.