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Finding the Third Proportional to 148,665 and 320,658

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Solution

The third proportional to 148,665 and 320,658 is: 691,632.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,665 : 320,658 = 320,658 : x
  2. Step 2: Convert to fraction form
    148,665/320,658 = 320,658/x
  3. Step 3: Cross multiply
    148,665x = 320,658 × 320,658
  4. Step 4: Simplify right side
    148,665x = 102,821,552,964
  5. Step 5: Solve for x
    x = 102,821,552,964/148,665
  6. Step 6: Final answer
    x = 691,632.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.