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Finding the Third Proportional to 149,265 and 324,490

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Solution

The third proportional to 149,265 and 324,490 is: 705,414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,265 : 324,490 = 324,490 : x
  2. Step 2: Convert to fraction form
    149,265/324,490 = 324,490/x
  3. Step 3: Cross multiply
    149,265x = 324,490 × 324,490
  4. Step 4: Simplify right side
    149,265x = 105,293,760,100
  5. Step 5: Solve for x
    x = 105,293,760,100/149,265
  6. Step 6: Final answer
    x = 705,414.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.