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Finding the Third Proportional to 272,945 and 486,827

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Solution

The third proportional to 272,945 and 486,827 is: 868,308.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,945 : 486,827 = 486,827 : x
  2. Step 2: Convert to fraction form
    272,945/486,827 = 486,827/x
  3. Step 3: Cross multiply
    272,945x = 486,827 × 486,827
  4. Step 4: Simplify right side
    272,945x = 237,000,527,929
  5. Step 5: Solve for x
    x = 237,000,527,929/272,945
  6. Step 6: Final answer
    x = 868,308.74

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.