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Finding the Third Proportional to 74,076 and 154,296

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Solution

The third proportional to 74,076 and 154,296 is: 321,389.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,076 : 154,296 = 154,296 : x
  2. Step 2: Convert to fraction form
    74,076/154,296 = 154,296/x
  3. Step 3: Cross multiply
    74,076x = 154,296 × 154,296
  4. Step 4: Simplify right side
    74,076x = 23,807,255,616
  5. Step 5: Solve for x
    x = 23,807,255,616/74,076
  6. Step 6: Final answer
    x = 321,389.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.