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Finding the Third Proportional to 222,765.19 and 480,173.06

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Solution

The third proportional to 222,765.19 and 480,173.06 is: 1,035,018.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,765.19 : 480,173.06 = 480,173.06 : x
  2. Step 2: Convert to fraction form
    222,765.19/480,173.06 = 480,173.06/x
  3. Step 3: Cross multiply
    222,765.19x = 480,173.06 × 480,173.06
  4. Step 4: Simplify right side
    222,765.19x = 230,566,169,950.63
  5. Step 5: Solve for x
    x = 230,566,169,950.63/222,765.19
  6. Step 6: Final answer
    x = 1,035,018.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.