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Finding the Third Proportional to 86,009 and 130,311

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Solution

The third proportional to 86,009 and 130,311 is: 197,432.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,009 : 130,311 = 130,311 : x
  2. Step 2: Convert to fraction form
    86,009/130,311 = 130,311/x
  3. Step 3: Cross multiply
    86,009x = 130,311 × 130,311
  4. Step 4: Simplify right side
    86,009x = 16,980,956,721
  5. Step 5: Solve for x
    x = 16,980,956,721/86,009
  6. Step 6: Final answer
    x = 197,432.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.