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Finding the Third Proportional to 85,384.13 and 122,980.78

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Solution

The third proportional to 85,384.13 and 122,980.78 is: 177,132.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,384.13 : 122,980.78 = 122,980.78 : x
  2. Step 2: Convert to fraction form
    85,384.13/122,980.78 = 122,980.78/x
  3. Step 3: Cross multiply
    85,384.13x = 122,980.78 × 122,980.78
  4. Step 4: Simplify right side
    85,384.13x = 15,124,272,556.86
  5. Step 5: Solve for x
    x = 15,124,272,556.86/85,384.13
  6. Step 6: Final answer
    x = 177,132.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.