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Finding the Third Proportional to 298,896 and 647,586

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Solution

The third proportional to 298,896 and 647,586 is: 1,403,055.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,896 : 647,586 = 647,586 : x
  2. Step 2: Convert to fraction form
    298,896/647,586 = 647,586/x
  3. Step 3: Cross multiply
    298,896x = 647,586 × 647,586
  4. Step 4: Simplify right side
    298,896x = 419,367,627,396
  5. Step 5: Solve for x
    x = 419,367,627,396/298,896
  6. Step 6: Final answer
    x = 1,403,055.33

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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.