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Finding the Third Proportional to 224,239 and 347,566.50

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Solution

The third proportional to 224,239 and 347,566.50 is: 538,721.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,239 : 347,566.50 = 347,566.50 : x
  2. Step 2: Convert to fraction form
    224,239/347,566.50 = 347,566.50/x
  3. Step 3: Cross multiply
    224,239x = 347,566.50 × 347,566.50
  4. Step 4: Simplify right side
    224,239x = 120,802,471,922.25
  5. Step 5: Solve for x
    x = 120,802,471,922.25/224,239
  6. Step 6: Final answer
    x = 538,721.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.