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Finding the Third Proportional to 55,865 and 121,772

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Solution

The third proportional to 55,865 and 121,772 is: 265,433.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,865 : 121,772 = 121,772 : x
  2. Step 2: Convert to fraction form
    55,865/121,772 = 121,772/x
  3. Step 3: Cross multiply
    55,865x = 121,772 × 121,772
  4. Step 4: Simplify right side
    55,865x = 14,828,419,984
  5. Step 5: Solve for x
    x = 14,828,419,984/55,865
  6. Step 6: Final answer
    x = 265,433.10

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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.