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Finding the Third Proportional to 220,320.56 and 297,263.81

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Solution

The third proportional to 220,320.56 and 297,263.81 is: 401,078.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,320.56 : 297,263.81 = 297,263.81 : x
  2. Step 2: Convert to fraction form
    220,320.56/297,263.81 = 297,263.81/x
  3. Step 3: Cross multiply
    220,320.56x = 297,263.81 × 297,263.81
  4. Step 4: Simplify right side
    220,320.56x = 88,365,774,222.04
  5. Step 5: Solve for x
    x = 88,365,774,222.04/220,320.56
  6. Step 6: Final answer
    x = 401,078.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.