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Finding the Third Proportional to 149,714 and 328,412

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Solution

The third proportional to 149,714 and 328,412 is: 720,403.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,714 : 328,412 = 328,412 : x
  2. Step 2: Convert to fraction form
    149,714/328,412 = 328,412/x
  3. Step 3: Cross multiply
    149,714x = 328,412 × 328,412
  4. Step 4: Simplify right side
    149,714x = 107,854,441,744
  5. Step 5: Solve for x
    x = 107,854,441,744/149,714
  6. Step 6: Final answer
    x = 720,403.18

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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.