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Finding the Third Proportional to 78,392 and 172,391

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Solution

The third proportional to 78,392 and 172,391 is: 379,103.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,392 : 172,391 = 172,391 : x
  2. Step 2: Convert to fraction form
    78,392/172,391 = 172,391/x
  3. Step 3: Cross multiply
    78,392x = 172,391 × 172,391
  4. Step 4: Simplify right side
    78,392x = 29,718,656,881
  5. Step 5: Solve for x
    x = 29,718,656,881/78,392
  6. Step 6: Final answer
    x = 379,103.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.