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Finding the Third Proportional to 149,024 and 209,320

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Solution

The third proportional to 149,024 and 209,320 is: 294,012.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,024 : 209,320 = 209,320 : x
  2. Step 2: Convert to fraction form
    149,024/209,320 = 209,320/x
  3. Step 3: Cross multiply
    149,024x = 209,320 × 209,320
  4. Step 4: Simplify right side
    149,024x = 43,814,862,400
  5. Step 5: Solve for x
    x = 43,814,862,400/149,024
  6. Step 6: Final answer
    x = 294,012.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.