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Finding the Third Proportional to 38,430 and 78,774

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Solution

The third proportional to 38,430 and 78,774 is: 161,471.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,430 : 78,774 = 78,774 : x
  2. Step 2: Convert to fraction form
    38,430/78,774 = 78,774/x
  3. Step 3: Cross multiply
    38,430x = 78,774 × 78,774
  4. Step 4: Simplify right side
    38,430x = 6,205,343,076
  5. Step 5: Solve for x
    x = 6,205,343,076/38,430
  6. Step 6: Final answer
    x = 161,471.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.