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Finding the Third Proportional to 72,009 and 98,889

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Solution

The third proportional to 72,009 and 98,889 is: 135,802.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,009 : 98,889 = 98,889 : x
  2. Step 2: Convert to fraction form
    72,009/98,889 = 98,889/x
  3. Step 3: Cross multiply
    72,009x = 98,889 × 98,889
  4. Step 4: Simplify right side
    72,009x = 9,779,034,321
  5. Step 5: Solve for x
    x = 9,779,034,321/72,009
  6. Step 6: Final answer
    x = 135,802.95

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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.