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Finding the Third Proportional to 149,020 and 290,544

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Solution

The third proportional to 149,020 and 290,544 is: 566,473.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,020 : 290,544 = 290,544 : x
  2. Step 2: Convert to fraction form
    149,020/290,544 = 290,544/x
  3. Step 3: Cross multiply
    149,020x = 290,544 × 290,544
  4. Step 4: Simplify right side
    149,020x = 84,415,815,936
  5. Step 5: Solve for x
    x = 84,415,815,936/149,020
  6. Step 6: Final answer
    x = 566,473.06

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.