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Finding the Third Proportional to 149,212 and 231,382

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Solution

The third proportional to 149,212 and 231,382 is: 358,802.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,212 : 231,382 = 231,382 : x
  2. Step 2: Convert to fraction form
    149,212/231,382 = 231,382/x
  3. Step 3: Cross multiply
    149,212x = 231,382 × 231,382
  4. Step 4: Simplify right side
    149,212x = 53,537,629,924
  5. Step 5: Solve for x
    x = 53,537,629,924/149,212
  6. Step 6: Final answer
    x = 358,802.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.