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Finding the Third Proportional to 149,642 and 328,361

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Solution

The third proportional to 149,642 and 328,361 is: 720,525.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,642 : 328,361 = 328,361 : x
  2. Step 2: Convert to fraction form
    149,642/328,361 = 328,361/x
  3. Step 3: Cross multiply
    149,642x = 328,361 × 328,361
  4. Step 4: Simplify right side
    149,642x = 107,820,946,321
  5. Step 5: Solve for x
    x = 107,820,946,321/149,642
  6. Step 6: Final answer
    x = 720,525.96

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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.