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Finding the Third Proportional to 224,280 and 334,476

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Solution

The third proportional to 224,280 and 334,476 is: 498,814.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,280 : 334,476 = 334,476 : x
  2. Step 2: Convert to fraction form
    224,280/334,476 = 334,476/x
  3. Step 3: Cross multiply
    224,280x = 334,476 × 334,476
  4. Step 4: Simplify right side
    224,280x = 111,874,194,576
  5. Step 5: Solve for x
    x = 111,874,194,576/224,280
  6. Step 6: Final answer
    x = 498,814.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.