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Finding the Third Proportional to 210,815 and 276,784

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Solution

The third proportional to 210,815 and 276,784 is: 363,396.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,815 : 276,784 = 276,784 : x
  2. Step 2: Convert to fraction form
    210,815/276,784 = 276,784/x
  3. Step 3: Cross multiply
    210,815x = 276,784 × 276,784
  4. Step 4: Simplify right side
    210,815x = 76,609,382,656
  5. Step 5: Solve for x
    x = 76,609,382,656/210,815
  6. Step 6: Final answer
    x = 363,396.26

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.