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Finding the Third Proportional to 239,796 and 486,315

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Solution

The third proportional to 239,796 and 486,315 is: 986,264.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,796 : 486,315 = 486,315 : x
  2. Step 2: Convert to fraction form
    239,796/486,315 = 486,315/x
  3. Step 3: Cross multiply
    239,796x = 486,315 × 486,315
  4. Step 4: Simplify right side
    239,796x = 236,502,279,225
  5. Step 5: Solve for x
    x = 236,502,279,225/239,796
  6. Step 6: Final answer
    x = 986,264.49

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.