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Finding the Third Proportional to 86,910 and 116,404.50

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Solution

The third proportional to 86,910 and 116,404.50 is: 155,908.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,910 : 116,404.50 = 116,404.50 : x
  2. Step 2: Convert to fraction form
    86,910/116,404.50 = 116,404.50/x
  3. Step 3: Cross multiply
    86,910x = 116,404.50 × 116,404.50
  4. Step 4: Simplify right side
    86,910x = 13,550,007,620.25
  5. Step 5: Solve for x
    x = 13,550,007,620.25/86,910
  6. Step 6: Final answer
    x = 155,908.50

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.