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Finding the Third Proportional to 149,070 and 221,577

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Solution

The third proportional to 149,070 and 221,577 is: 329,351.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,070 : 221,577 = 221,577 : x
  2. Step 2: Convert to fraction form
    149,070/221,577 = 221,577/x
  3. Step 3: Cross multiply
    149,070x = 221,577 × 221,577
  4. Step 4: Simplify right side
    149,070x = 49,096,366,929
  5. Step 5: Solve for x
    x = 49,096,366,929/149,070
  6. Step 6: Final answer
    x = 329,351.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.