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Finding the Third Proportional to 74,840 and 163,774

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Solution

The third proportional to 74,840 and 163,774 is: 358,390.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,840 : 163,774 = 163,774 : x
  2. Step 2: Convert to fraction form
    74,840/163,774 = 163,774/x
  3. Step 3: Cross multiply
    74,840x = 163,774 × 163,774
  4. Step 4: Simplify right side
    74,840x = 26,821,923,076
  5. Step 5: Solve for x
    x = 26,821,923,076/74,840
  6. Step 6: Final answer
    x = 358,390.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.