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Finding the Third Proportional to 30,402 and 74,977

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Solution

The third proportional to 30,402 and 74,977 is: 184,907.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,402 : 74,977 = 74,977 : x
  2. Step 2: Convert to fraction form
    30,402/74,977 = 74,977/x
  3. Step 3: Cross multiply
    30,402x = 74,977 × 74,977
  4. Step 4: Simplify right side
    30,402x = 5,621,550,529
  5. Step 5: Solve for x
    x = 5,621,550,529/30,402
  6. Step 6: Final answer
    x = 184,907.26

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.