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Finding the Third Proportional to 202,678 and 439,968

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Solution

The third proportional to 202,678 and 439,968 is: 955,070.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,678 : 439,968 = 439,968 : x
  2. Step 2: Convert to fraction form
    202,678/439,968 = 439,968/x
  3. Step 3: Cross multiply
    202,678x = 439,968 × 439,968
  4. Step 4: Simplify right side
    202,678x = 193,571,841,024
  5. Step 5: Solve for x
    x = 193,571,841,024/202,678
  6. Step 6: Final answer
    x = 955,070.81

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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.