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Finding the Third Proportional to 74,020 and 154,184

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Solution

The third proportional to 74,020 and 154,184 is: 321,165.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,020 : 154,184 = 154,184 : x
  2. Step 2: Convert to fraction form
    74,020/154,184 = 154,184/x
  3. Step 3: Cross multiply
    74,020x = 154,184 × 154,184
  4. Step 4: Simplify right side
    74,020x = 23,772,705,856
  5. Step 5: Solve for x
    x = 23,772,705,856/74,020
  6. Step 6: Final answer
    x = 321,165.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.