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Finding the Third Proportional to 149,635 and 328,347

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Solution

The third proportional to 149,635 and 328,347 is: 720,498.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,635 : 328,347 = 328,347 : x
  2. Step 2: Convert to fraction form
    149,635/328,347 = 328,347/x
  3. Step 3: Cross multiply
    149,635x = 328,347 × 328,347
  4. Step 4: Simplify right side
    149,635x = 107,811,752,409
  5. Step 5: Solve for x
    x = 107,811,752,409/149,635
  6. Step 6: Final answer
    x = 720,498.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.