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Finding the Third Proportional to 210,816 and 330,048

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Solution

The third proportional to 210,816 and 330,048 is: 516,714.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,816 : 330,048 = 330,048 : x
  2. Step 2: Convert to fraction form
    210,816/330,048 = 330,048/x
  3. Step 3: Cross multiply
    210,816x = 330,048 × 330,048
  4. Step 4: Simplify right side
    210,816x = 108,931,682,304
  5. Step 5: Solve for x
    x = 108,931,682,304/210,816
  6. Step 6: Final answer
    x = 516,714.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.