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Finding the Third Proportional to 129,622 and 279,476

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Solution

The third proportional to 129,622 and 279,476 is: 602,573.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,622 : 279,476 = 279,476 : x
  2. Step 2: Convert to fraction form
    129,622/279,476 = 279,476/x
  3. Step 3: Cross multiply
    129,622x = 279,476 × 279,476
  4. Step 4: Simplify right side
    129,622x = 78,106,834,576
  5. Step 5: Solve for x
    x = 78,106,834,576/129,622
  6. Step 6: Final answer
    x = 602,573.90

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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.