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Finding the Third Proportional to 129,020 and 283,476

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Solution

The third proportional to 129,020 and 283,476 is: 622,838.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,020 : 283,476 = 283,476 : x
  2. Step 2: Convert to fraction form
    129,020/283,476 = 283,476/x
  3. Step 3: Cross multiply
    129,020x = 283,476 × 283,476
  4. Step 4: Simplify right side
    129,020x = 80,358,642,576
  5. Step 5: Solve for x
    x = 80,358,642,576/129,020
  6. Step 6: Final answer
    x = 622,838.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.