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Finding the Third Proportional to 77,371 and 169,322

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Solution

The third proportional to 77,371 and 169,322 is: 370,551.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,371 : 169,322 = 169,322 : x
  2. Step 2: Convert to fraction form
    77,371/169,322 = 169,322/x
  3. Step 3: Cross multiply
    77,371x = 169,322 × 169,322
  4. Step 4: Simplify right side
    77,371x = 28,669,939,684
  5. Step 5: Solve for x
    x = 28,669,939,684/77,371
  6. Step 6: Final answer
    x = 370,551.49

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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.