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Finding the Third Proportional to 30,488 and 65,968

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Solution

The third proportional to 30,488 and 65,968 is: 142,737.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,488 : 65,968 = 65,968 : x
  2. Step 2: Convert to fraction form
    30,488/65,968 = 65,968/x
  3. Step 3: Cross multiply
    30,488x = 65,968 × 65,968
  4. Step 4: Simplify right side
    30,488x = 4,351,777,024
  5. Step 5: Solve for x
    x = 4,351,777,024/30,488
  6. Step 6: Final answer
    x = 142,737.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.