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Finding the Third Proportional to 72,010 and 98,887

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Solution

The third proportional to 72,010 and 98,887 is: 135,795.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,010 : 98,887 = 98,887 : x
  2. Step 2: Convert to fraction form
    72,010/98,887 = 98,887/x
  3. Step 3: Cross multiply
    72,010x = 98,887 × 98,887
  4. Step 4: Simplify right side
    72,010x = 9,778,638,769
  5. Step 5: Solve for x
    x = 9,778,638,769/72,010
  6. Step 6: Final answer
    x = 135,795.57

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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.