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Finding the Third Proportional to 227,730 and 486,991

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Solution

The third proportional to 227,730 and 486,991 is: 1,041,409.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,730 : 486,991 = 486,991 : x
  2. Step 2: Convert to fraction form
    227,730/486,991 = 486,991/x
  3. Step 3: Cross multiply
    227,730x = 486,991 × 486,991
  4. Step 4: Simplify right side
    227,730x = 237,160,234,081
  5. Step 5: Solve for x
    x = 237,160,234,081/227,730
  6. Step 6: Final answer
    x = 1,041,409.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.