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Finding the Third Proportional to 277,832 and 430,476

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Solution

The third proportional to 277,832 and 430,476 is: 666,984.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,832 : 430,476 = 430,476 : x
  2. Step 2: Convert to fraction form
    277,832/430,476 = 430,476/x
  3. Step 3: Cross multiply
    277,832x = 430,476 × 430,476
  4. Step 4: Simplify right side
    277,832x = 185,309,586,576
  5. Step 5: Solve for x
    x = 185,309,586,576/277,832
  6. Step 6: Final answer
    x = 666,984.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.