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Finding the Third Proportional to 286,208 and 621,640

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Solution

The third proportional to 286,208 and 621,640 is: 1,350,193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,208 : 621,640 = 621,640 : x
  2. Step 2: Convert to fraction form
    286,208/621,640 = 621,640/x
  3. Step 3: Cross multiply
    286,208x = 621,640 × 621,640
  4. Step 4: Simplify right side
    286,208x = 386,436,289,600
  5. Step 5: Solve for x
    x = 386,436,289,600/286,208
  6. Step 6: Final answer
    x = 1,350,193.88

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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.