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Finding the Third Proportional to 223,497.56 and 484,123.50

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Solution

The third proportional to 223,497.56 and 484,123.50 is: 1,048,671.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,497.56 : 484,123.50 = 484,123.50 : x
  2. Step 2: Convert to fraction form
    223,497.56/484,123.50 = 484,123.50/x
  3. Step 3: Cross multiply
    223,497.56x = 484,123.50 × 484,123.50
  4. Step 4: Simplify right side
    223,497.56x = 234,375,563,252.25
  5. Step 5: Solve for x
    x = 234,375,563,252.25/223,497.56
  6. Step 6: Final answer
    x = 1,048,671.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.