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Finding the Third Proportional to 298,469 and 644,202

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Solution

The third proportional to 298,469 and 644,202 is: 1,390,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,469 : 644,202 = 644,202 : x
  2. Step 2: Convert to fraction form
    298,469/644,202 = 644,202/x
  3. Step 3: Cross multiply
    298,469x = 644,202 × 644,202
  4. Step 4: Simplify right side
    298,469x = 414,996,216,804
  5. Step 5: Solve for x
    x = 414,996,216,804/298,469
  6. Step 6: Final answer
    x = 1,390,416.48

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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.