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Finding the Third Proportional to 72,004 and 98,881

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Solution

The third proportional to 72,004 and 98,881 is: 135,790.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,004 : 98,881 = 98,881 : x
  2. Step 2: Convert to fraction form
    72,004/98,881 = 98,881/x
  3. Step 3: Cross multiply
    72,004x = 98,881 × 98,881
  4. Step 4: Simplify right side
    72,004x = 9,777,452,161
  5. Step 5: Solve for x
    x = 9,777,452,161/72,004
  6. Step 6: Final answer
    x = 135,790.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.