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Finding the Third Proportional to 298,345 and 648,632

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Solution

The third proportional to 298,345 and 648,632 is: 1,410,191.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,345 : 648,632 = 648,632 : x
  2. Step 2: Convert to fraction form
    298,345/648,632 = 648,632/x
  3. Step 3: Cross multiply
    298,345x = 648,632 × 648,632
  4. Step 4: Simplify right side
    298,345x = 420,723,471,424
  5. Step 5: Solve for x
    x = 420,723,471,424/298,345
  6. Step 6: Final answer
    x = 1,410,191.13

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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.