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Finding the Third Proportional to 115,230 and 154,989

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Solution

The third proportional to 115,230 and 154,989 is: 208,466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,230 : 154,989 = 154,989 : x
  2. Step 2: Convert to fraction form
    115,230/154,989 = 154,989/x
  3. Step 3: Cross multiply
    115,230x = 154,989 × 154,989
  4. Step 4: Simplify right side
    115,230x = 24,021,590,121
  5. Step 5: Solve for x
    x = 24,021,590,121/115,230
  6. Step 6: Final answer
    x = 208,466.46

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.