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Finding the Third Proportional to 30,447 and 47,774

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Solution

The third proportional to 30,447 and 47,774 is: 74,961.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,447 : 47,774 = 47,774 : x
  2. Step 2: Convert to fraction form
    30,447/47,774 = 47,774/x
  3. Step 3: Cross multiply
    30,447x = 47,774 × 47,774
  4. Step 4: Simplify right side
    30,447x = 2,282,355,076
  5. Step 5: Solve for x
    x = 2,282,355,076/30,447
  6. Step 6: Final answer
    x = 74,961.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.