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Finding the Third Proportional to 222,259.50 and 480,060

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Solution

The third proportional to 222,259.50 and 480,060 is: 1,036,885.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,259.50 : 480,060 = 480,060 : x
  2. Step 2: Convert to fraction form
    222,259.50/480,060 = 480,060/x
  3. Step 3: Cross multiply
    222,259.50x = 480,060 × 480,060
  4. Step 4: Simplify right side
    222,259.50x = 230,457,603,600
  5. Step 5: Solve for x
    x = 230,457,603,600/222,259.50
  6. Step 6: Final answer
    x = 1,036,885.28

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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.