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Finding the Third Proportional to 210,768 and 321,504

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Solution

The third proportional to 210,768 and 321,504 is: 490,419.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,768 : 321,504 = 321,504 : x
  2. Step 2: Convert to fraction form
    210,768/321,504 = 321,504/x
  3. Step 3: Cross multiply
    210,768x = 321,504 × 321,504
  4. Step 4: Simplify right side
    210,768x = 103,364,822,016
  5. Step 5: Solve for x
    x = 103,364,822,016/210,768
  6. Step 6: Final answer
    x = 490,419.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.