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Finding the Third Proportional to 211,434 and 315,510

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Solution

The third proportional to 211,434 and 315,510 is: 470,816.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,434 : 315,510 = 315,510 : x
  2. Step 2: Convert to fraction form
    211,434/315,510 = 315,510/x
  3. Step 3: Cross multiply
    211,434x = 315,510 × 315,510
  4. Step 4: Simplify right side
    211,434x = 99,546,560,100
  5. Step 5: Solve for x
    x = 99,546,560,100/211,434
  6. Step 6: Final answer
    x = 470,816.24

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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.