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Finding the Third Proportional to 55,647 and 121,905

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Solution

The third proportional to 55,647 and 121,905 is: 267,055.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,647 : 121,905 = 121,905 : x
  2. Step 2: Convert to fraction form
    55,647/121,905 = 121,905/x
  3. Step 3: Cross multiply
    55,647x = 121,905 × 121,905
  4. Step 4: Simplify right side
    55,647x = 14,860,829,025
  5. Step 5: Solve for x
    x = 14,860,829,025/55,647
  6. Step 6: Final answer
    x = 267,055.35

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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.