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Finding the Third Proportional to 74,912 and 163,817

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Solution

The third proportional to 74,912 and 163,817 is: 358,233.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,912 : 163,817 = 163,817 : x
  2. Step 2: Convert to fraction form
    74,912/163,817 = 163,817/x
  3. Step 3: Cross multiply
    74,912x = 163,817 × 163,817
  4. Step 4: Simplify right side
    74,912x = 26,836,009,489
  5. Step 5: Solve for x
    x = 26,836,009,489/74,912
  6. Step 6: Final answer
    x = 358,233.79

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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.