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Finding the Third Proportional to 86,982 and 130,137

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Solution

The third proportional to 86,982 and 130,137 is: 194,702.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,982 : 130,137 = 130,137 : x
  2. Step 2: Convert to fraction form
    86,982/130,137 = 130,137/x
  3. Step 3: Cross multiply
    86,982x = 130,137 × 130,137
  4. Step 4: Simplify right side
    86,982x = 16,935,638,769
  5. Step 5: Solve for x
    x = 16,935,638,769/86,982
  6. Step 6: Final answer
    x = 194,702.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.