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Finding the Third Proportional to 74,820 and 151,728

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Solution

The third proportional to 74,820 and 151,728 is: 307,690.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,820 : 151,728 = 151,728 : x
  2. Step 2: Convert to fraction form
    74,820/151,728 = 151,728/x
  3. Step 3: Cross multiply
    74,820x = 151,728 × 151,728
  4. Step 4: Simplify right side
    74,820x = 23,021,385,984
  5. Step 5: Solve for x
    x = 23,021,385,984/74,820
  6. Step 6: Final answer
    x = 307,690.27

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.