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Finding the Third Proportional to 170,142 and 251,323

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Solution

The third proportional to 170,142 and 251,323 is: 371,238.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,142 : 251,323 = 251,323 : x
  2. Step 2: Convert to fraction form
    170,142/251,323 = 251,323/x
  3. Step 3: Cross multiply
    170,142x = 251,323 × 251,323
  4. Step 4: Simplify right side
    170,142x = 63,163,250,329
  5. Step 5: Solve for x
    x = 63,163,250,329/170,142
  6. Step 6: Final answer
    x = 371,238.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.