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Finding the Third Proportional to 300,000 and 652,608

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Solution

The third proportional to 300,000 and 652,608 is: 1,419,657.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,000 : 652,608 = 652,608 : x
  2. Step 2: Convert to fraction form
    300,000/652,608 = 652,608/x
  3. Step 3: Cross multiply
    300,000x = 652,608 × 652,608
  4. Step 4: Simplify right side
    300,000x = 425,897,201,664
  5. Step 5: Solve for x
    x = 425,897,201,664/300,000
  6. Step 6: Final answer
    x = 1,419,657.34

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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.