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Finding the Third Proportional to 298,808 and 647,400

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Solution

The third proportional to 298,808 and 647,400 is: 1,402,662.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,808 : 647,400 = 647,400 : x
  2. Step 2: Convert to fraction form
    298,808/647,400 = 647,400/x
  3. Step 3: Cross multiply
    298,808x = 647,400 × 647,400
  4. Step 4: Simplify right side
    298,808x = 419,126,760,000
  5. Step 5: Solve for x
    x = 419,126,760,000/298,808
  6. Step 6: Final answer
    x = 1,402,662.45

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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.