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Finding the Third Proportional to 91,855 and 130,011

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Solution

The third proportional to 91,855 and 130,011 is: 184,016.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,855 : 130,011 = 130,011 : x
  2. Step 2: Convert to fraction form
    91,855/130,011 = 130,011/x
  3. Step 3: Cross multiply
    91,855x = 130,011 × 130,011
  4. Step 4: Simplify right side
    91,855x = 16,902,860,121
  5. Step 5: Solve for x
    x = 16,902,860,121/91,855
  6. Step 6: Final answer
    x = 184,016.77

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.