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Finding the Third Proportional to 74,889 and 162,900

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Solution

The third proportional to 74,889 and 162,900 is: 354,343.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,889 : 162,900 = 162,900 : x
  2. Step 2: Convert to fraction form
    74,889/162,900 = 162,900/x
  3. Step 3: Cross multiply
    74,889x = 162,900 × 162,900
  4. Step 4: Simplify right side
    74,889x = 26,536,410,000
  5. Step 5: Solve for x
    x = 26,536,410,000/74,889
  6. Step 6: Final answer
    x = 354,343.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.