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Finding the Third Proportional to 148,938 and 319,206

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Solution

The third proportional to 148,938 and 319,206 is: 684,126.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,938 : 319,206 = 319,206 : x
  2. Step 2: Convert to fraction form
    148,938/319,206 = 319,206/x
  3. Step 3: Cross multiply
    148,938x = 319,206 × 319,206
  4. Step 4: Simplify right side
    148,938x = 101,892,470,436
  5. Step 5: Solve for x
    x = 101,892,470,436/148,938
  6. Step 6: Final answer
    x = 684,126.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.