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Finding the Third Proportional to 86,380.50 and 130,778.63

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Solution

The third proportional to 86,380.50 and 130,778.63 is: 197,996.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,380.50 : 130,778.63 = 130,778.63 : x
  2. Step 2: Convert to fraction form
    86,380.50/130,778.63 = 130,778.63/x
  3. Step 3: Cross multiply
    86,380.50x = 130,778.63 × 130,778.63
  4. Step 4: Simplify right side
    86,380.50x = 17,103,048,756.89
  5. Step 5: Solve for x
    x = 17,103,048,756.89/86,380.50
  6. Step 6: Final answer
    x = 197,996.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.