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Finding the Third Proportional to 172,964 and 375,451

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Solution

The third proportional to 172,964 and 375,451 is: 814,987.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,964 : 375,451 = 375,451 : x
  2. Step 2: Convert to fraction form
    172,964/375,451 = 375,451/x
  3. Step 3: Cross multiply
    172,964x = 375,451 × 375,451
  4. Step 4: Simplify right side
    172,964x = 140,963,453,401
  5. Step 5: Solve for x
    x = 140,963,453,401/172,964
  6. Step 6: Final answer
    x = 814,987.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.