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Finding the Third Proportional to 148,080 and 319,802

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Solution

The third proportional to 148,080 and 319,802 is: 690,662.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,080 : 319,802 = 319,802 : x
  2. Step 2: Convert to fraction form
    148,080/319,802 = 319,802/x
  3. Step 3: Cross multiply
    148,080x = 319,802 × 319,802
  4. Step 4: Simplify right side
    148,080x = 102,273,319,204
  5. Step 5: Solve for x
    x = 102,273,319,204/148,080
  6. Step 6: Final answer
    x = 690,662.61

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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.