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Finding the Third Proportional to 221,720.63 and 486,360.56

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Solution

The third proportional to 221,720.63 and 486,360.56 is: 1,066,867.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,720.63 : 486,360.56 = 486,360.56 : x
  2. Step 2: Convert to fraction form
    221,720.63/486,360.56 = 486,360.56/x
  3. Step 3: Cross multiply
    221,720.63x = 486,360.56 × 486,360.56
  4. Step 4: Simplify right side
    221,720.63x = 236,546,596,755.32
  5. Step 5: Solve for x
    x = 236,546,596,755.32/221,720.63
  6. Step 6: Final answer
    x = 1,066,867.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.