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Finding the Third Proportional to 142,448 and 211,476

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Solution

The third proportional to 142,448 and 211,476 is: 313,953.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,448 : 211,476 = 211,476 : x
  2. Step 2: Convert to fraction form
    142,448/211,476 = 211,476/x
  3. Step 3: Cross multiply
    142,448x = 211,476 × 211,476
  4. Step 4: Simplify right side
    142,448x = 44,722,098,576
  5. Step 5: Solve for x
    x = 44,722,098,576/142,448
  6. Step 6: Final answer
    x = 313,953.85

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.