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Finding the Third Proportional to 115,911 and 253,989

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Solution

The third proportional to 115,911 and 253,989 is: 556,551.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,911 : 253,989 = 253,989 : x
  2. Step 2: Convert to fraction form
    115,911/253,989 = 253,989/x
  3. Step 3: Cross multiply
    115,911x = 253,989 × 253,989
  4. Step 4: Simplify right side
    115,911x = 64,510,412,121
  5. Step 5: Solve for x
    x = 64,510,412,121/115,911
  6. Step 6: Final answer
    x = 556,551.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.