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Finding the Third Proportional to 224,454 and 483,892

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Solution

The third proportional to 224,454 and 483,892 is: 1,043,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,454 : 483,892 = 483,892 : x
  2. Step 2: Convert to fraction form
    224,454/483,892 = 483,892/x
  3. Step 3: Cross multiply
    224,454x = 483,892 × 483,892
  4. Step 4: Simplify right side
    224,454x = 234,151,467,664
  5. Step 5: Solve for x
    x = 234,151,467,664/224,454
  6. Step 6: Final answer
    x = 1,043,204.70

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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.