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Finding the Third Proportional to 55,966 and 121,778

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Solution

The third proportional to 55,966 and 121,778 is: 264,980.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,966 : 121,778 = 121,778 : x
  2. Step 2: Convert to fraction form
    55,966/121,778 = 121,778/x
  3. Step 3: Cross multiply
    55,966x = 121,778 × 121,778
  4. Step 4: Simplify right side
    55,966x = 14,829,881,284
  5. Step 5: Solve for x
    x = 14,829,881,284/55,966
  6. Step 6: Final answer
    x = 264,980.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.