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Finding the Third Proportional to 298,627 and 649,735

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Solution

The third proportional to 298,627 and 649,735 is: 1,413,655.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,627 : 649,735 = 649,735 : x
  2. Step 2: Convert to fraction form
    298,627/649,735 = 649,735/x
  3. Step 3: Cross multiply
    298,627x = 649,735 × 649,735
  4. Step 4: Simplify right side
    298,627x = 422,155,570,225
  5. Step 5: Solve for x
    x = 422,155,570,225/298,627
  6. Step 6: Final answer
    x = 1,413,655.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.