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Finding the Third Proportional to 298,722 and 473,238

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Solution

The third proportional to 298,722 and 473,238 is: 749,707.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,722 : 473,238 = 473,238 : x
  2. Step 2: Convert to fraction form
    298,722/473,238 = 473,238/x
  3. Step 3: Cross multiply
    298,722x = 473,238 × 473,238
  4. Step 4: Simplify right side
    298,722x = 223,954,204,644
  5. Step 5: Solve for x
    x = 223,954,204,644/298,722
  6. Step 6: Final answer
    x = 749,707.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.