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Finding the Third Proportional to 202,968 and 288,489

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Solution

The third proportional to 202,968 and 288,489 is: 410,044.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,968 : 288,489 = 288,489 : x
  2. Step 2: Convert to fraction form
    202,968/288,489 = 288,489/x
  3. Step 3: Cross multiply
    202,968x = 288,489 × 288,489
  4. Step 4: Simplify right side
    202,968x = 83,225,903,121
  5. Step 5: Solve for x
    x = 83,225,903,121/202,968
  6. Step 6: Final answer
    x = 410,044.46

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.