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Finding the Third Proportional to 217,420 and 488,278.50

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Solution

The third proportional to 217,420 and 488,278.50 is: 1,096,568.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,420 : 488,278.50 = 488,278.50 : x
  2. Step 2: Convert to fraction form
    217,420/488,278.50 = 488,278.50/x
  3. Step 3: Cross multiply
    217,420x = 488,278.50 × 488,278.50
  4. Step 4: Simplify right side
    217,420x = 238,415,893,562.25
  5. Step 5: Solve for x
    x = 238,415,893,562.25/217,420
  6. Step 6: Final answer
    x = 1,096,568.36

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.