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Finding the Third Proportional to 148,449 and 320,028

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Solution

The third proportional to 148,449 and 320,028 is: 689,919.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,449 : 320,028 = 320,028 : x
  2. Step 2: Convert to fraction form
    148,449/320,028 = 320,028/x
  3. Step 3: Cross multiply
    148,449x = 320,028 × 320,028
  4. Step 4: Simplify right side
    148,449x = 102,417,920,784
  5. Step 5: Solve for x
    x = 102,417,920,784/148,449
  6. Step 6: Final answer
    x = 689,919.91

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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.