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Finding the Third Proportional to 202,120 and 439,628

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Solution

The third proportional to 202,120 and 439,628 is: 956,227.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,120 : 439,628 = 439,628 : x
  2. Step 2: Convert to fraction form
    202,120/439,628 = 439,628/x
  3. Step 3: Cross multiply
    202,120x = 439,628 × 439,628
  4. Step 4: Simplify right side
    202,120x = 193,272,778,384
  5. Step 5: Solve for x
    x = 193,272,778,384/202,120
  6. Step 6: Final answer
    x = 956,227.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.