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Finding the Third Proportional to 149,004 and 319,338

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Solution

The third proportional to 149,004 and 319,338 is: 684,389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,004 : 319,338 = 319,338 : x
  2. Step 2: Convert to fraction form
    149,004/319,338 = 319,338/x
  3. Step 3: Cross multiply
    149,004x = 319,338 × 319,338
  4. Step 4: Simplify right side
    149,004x = 101,976,758,244
  5. Step 5: Solve for x
    x = 101,976,758,244/149,004
  6. Step 6: Final answer
    x = 684,389.40

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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.