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Finding the Third Proportional to 210,656 and 438,814

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Solution

The third proportional to 210,656 and 438,814 is: 914,086.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,656 : 438,814 = 438,814 : x
  2. Step 2: Convert to fraction form
    210,656/438,814 = 438,814/x
  3. Step 3: Cross multiply
    210,656x = 438,814 × 438,814
  4. Step 4: Simplify right side
    210,656x = 192,557,726,596
  5. Step 5: Solve for x
    x = 192,557,726,596/210,656
  6. Step 6: Final answer
    x = 914,086.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.