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Finding the Third Proportional to 149,537 and 328,137

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Solution

The third proportional to 149,537 and 328,137 is: 720,048.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,537 : 328,137 = 328,137 : x
  2. Step 2: Convert to fraction form
    149,537/328,137 = 328,137/x
  3. Step 3: Cross multiply
    149,537x = 328,137 × 328,137
  4. Step 4: Simplify right side
    149,537x = 107,673,890,769
  5. Step 5: Solve for x
    x = 107,673,890,769/149,537
  6. Step 6: Final answer
    x = 720,048.49

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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.