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Finding the Third Proportional to 298,619 and 653,295

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Solution

The third proportional to 298,619 and 653,295 is: 1,429,227.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,619 : 653,295 = 653,295 : x
  2. Step 2: Convert to fraction form
    298,619/653,295 = 653,295/x
  3. Step 3: Cross multiply
    298,619x = 653,295 × 653,295
  4. Step 4: Simplify right side
    298,619x = 426,794,357,025
  5. Step 5: Solve for x
    x = 426,794,357,025/298,619
  6. Step 6: Final answer
    x = 1,429,227.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.