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Finding the Third Proportional to 77,393 and 169,368

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Solution

The third proportional to 77,393 and 169,368 is: 370,647.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,393 : 169,368 = 169,368 : x
  2. Step 2: Convert to fraction form
    77,393/169,368 = 169,368/x
  3. Step 3: Cross multiply
    77,393x = 169,368 × 169,368
  4. Step 4: Simplify right side
    77,393x = 28,685,519,424
  5. Step 5: Solve for x
    x = 28,685,519,424/77,393
  6. Step 6: Final answer
    x = 370,647.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.