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Finding the Third Proportional to 224,478 and 345,018

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Solution

The third proportional to 224,478 and 345,018 is: 530,285.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,478 : 345,018 = 345,018 : x
  2. Step 2: Convert to fraction form
    224,478/345,018 = 345,018/x
  3. Step 3: Cross multiply
    224,478x = 345,018 × 345,018
  4. Step 4: Simplify right side
    224,478x = 119,037,420,324
  5. Step 5: Solve for x
    x = 119,037,420,324/224,478
  6. Step 6: Final answer
    x = 530,285.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.