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Finding the Third Proportional to 298,347 and 621,720

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Solution

The third proportional to 298,347 and 621,720 is: 1,295,591.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,347 : 621,720 = 621,720 : x
  2. Step 2: Convert to fraction form
    298,347/621,720 = 621,720/x
  3. Step 3: Cross multiply
    298,347x = 621,720 × 621,720
  4. Step 4: Simplify right side
    298,347x = 386,535,758,400
  5. Step 5: Solve for x
    x = 386,535,758,400/298,347
  6. Step 6: Final answer
    x = 1,295,591.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.