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Finding the Third Proportional to 91,869 and 130,031

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Solution

The third proportional to 91,869 and 130,031 is: 184,045.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,869 : 130,031 = 130,031 : x
  2. Step 2: Convert to fraction form
    91,869/130,031 = 130,031/x
  3. Step 3: Cross multiply
    91,869x = 130,031 × 130,031
  4. Step 4: Simplify right side
    91,869x = 16,908,060,961
  5. Step 5: Solve for x
    x = 16,908,060,961/91,869
  6. Step 6: Final answer
    x = 184,045.34

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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.