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Finding the Third Proportional to 202,476 and 439,903

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Solution

The third proportional to 202,476 and 439,903 is: 955,741.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,476 : 439,903 = 439,903 : x
  2. Step 2: Convert to fraction form
    202,476/439,903 = 439,903/x
  3. Step 3: Cross multiply
    202,476x = 439,903 × 439,903
  4. Step 4: Simplify right side
    202,476x = 193,514,649,409
  5. Step 5: Solve for x
    x = 193,514,649,409/202,476
  6. Step 6: Final answer
    x = 955,741.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.