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Finding the Third Proportional to 78,364 and 172,278

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Solution

The third proportional to 78,364 and 172,278 is: 378,741.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,364 : 172,278 = 172,278 : x
  2. Step 2: Convert to fraction form
    78,364/172,278 = 172,278/x
  3. Step 3: Cross multiply
    78,364x = 172,278 × 172,278
  4. Step 4: Simplify right side
    78,364x = 29,679,709,284
  5. Step 5: Solve for x
    x = 29,679,709,284/78,364
  6. Step 6: Final answer
    x = 378,741.63

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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.