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Finding the Third Proportional to 40,155 and 85,130

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Solution

The third proportional to 40,155 and 85,130 is: 180,478.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,155 : 85,130 = 85,130 : x
  2. Step 2: Convert to fraction form
    40,155/85,130 = 85,130/x
  3. Step 3: Cross multiply
    40,155x = 85,130 × 85,130
  4. Step 4: Simplify right side
    40,155x = 7,247,116,900
  5. Step 5: Solve for x
    x = 7,247,116,900/40,155
  6. Step 6: Final answer
    x = 180,478.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.