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Finding the Third Proportional to 72,038 and 149,852

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Solution

The third proportional to 72,038 and 149,852 is: 311,719.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,038 : 149,852 = 149,852 : x
  2. Step 2: Convert to fraction form
    72,038/149,852 = 149,852/x
  3. Step 3: Cross multiply
    72,038x = 149,852 × 149,852
  4. Step 4: Simplify right side
    72,038x = 22,455,621,904
  5. Step 5: Solve for x
    x = 22,455,621,904/72,038
  6. Step 6: Final answer
    x = 311,719.12

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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.