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Finding the Third Proportional to 74,700 and 160,728

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Solution

The third proportional to 74,700 and 160,728 is: 345,829.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,700 : 160,728 = 160,728 : x
  2. Step 2: Convert to fraction form
    74,700/160,728 = 160,728/x
  3. Step 3: Cross multiply
    74,700x = 160,728 × 160,728
  4. Step 4: Simplify right side
    74,700x = 25,833,489,984
  5. Step 5: Solve for x
    x = 25,833,489,984/74,700
  6. Step 6: Final answer
    x = 345,829.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.