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Finding the Third Proportional to 149,049 and 319,426

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Solution

The third proportional to 149,049 and 319,426 is: 684,559.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,049 : 319,426 = 319,426 : x
  2. Step 2: Convert to fraction form
    149,049/319,426 = 319,426/x
  3. Step 3: Cross multiply
    149,049x = 319,426 × 319,426
  4. Step 4: Simplify right side
    149,049x = 102,032,969,476
  5. Step 5: Solve for x
    x = 102,032,969,476/149,049
  6. Step 6: Final answer
    x = 684,559.91

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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.