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Finding the Third Proportional to 224,564 and 490,773

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Solution

The third proportional to 224,564 and 490,773 is: 1,072,558.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,564 : 490,773 = 490,773 : x
  2. Step 2: Convert to fraction form
    224,564/490,773 = 490,773/x
  3. Step 3: Cross multiply
    224,564x = 490,773 × 490,773
  4. Step 4: Simplify right side
    224,564x = 240,858,137,529
  5. Step 5: Solve for x
    x = 240,858,137,529/224,564
  6. Step 6: Final answer
    x = 1,072,558.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.