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Finding the Third Proportional to 55,679 and 121,582

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Solution

The third proportional to 55,679 and 121,582 is: 265,489.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,679 : 121,582 = 121,582 : x
  2. Step 2: Convert to fraction form
    55,679/121,582 = 121,582/x
  3. Step 3: Cross multiply
    55,679x = 121,582 × 121,582
  4. Step 4: Simplify right side
    55,679x = 14,782,182,724
  5. Step 5: Solve for x
    x = 14,782,182,724/55,679
  6. Step 6: Final answer
    x = 265,489.37

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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.