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Finding the Third Proportional to 142,954 and 210,151

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Solution

The third proportional to 142,954 and 210,151 is: 308,934.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,954 : 210,151 = 210,151 : x
  2. Step 2: Convert to fraction form
    142,954/210,151 = 210,151/x
  3. Step 3: Cross multiply
    142,954x = 210,151 × 210,151
  4. Step 4: Simplify right side
    142,954x = 44,163,442,801
  5. Step 5: Solve for x
    x = 44,163,442,801/142,954
  6. Step 6: Final answer
    x = 308,934.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.