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Finding the Third Proportional to 85,840.86 and 126,280.50

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Solution

The third proportional to 85,840.86 and 126,280.50 is: 185,771.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,840.86 : 126,280.50 = 126,280.50 : x
  2. Step 2: Convert to fraction form
    85,840.86/126,280.50 = 126,280.50/x
  3. Step 3: Cross multiply
    85,840.86x = 126,280.50 × 126,280.50
  4. Step 4: Simplify right side
    85,840.86x = 15,946,765,420.18
  5. Step 5: Solve for x
    x = 15,946,765,420.18/85,840.86
  6. Step 6: Final answer
    x = 185,771.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.