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Finding the Third Proportional to 55,064 and 121,507

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Solution

The third proportional to 55,064 and 121,507 is: 268,123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,064 : 121,507 = 121,507 : x
  2. Step 2: Convert to fraction form
    55,064/121,507 = 121,507/x
  3. Step 3: Cross multiply
    55,064x = 121,507 × 121,507
  4. Step 4: Simplify right side
    55,064x = 14,763,951,049
  5. Step 5: Solve for x
    x = 14,763,951,049/55,064
  6. Step 6: Final answer
    x = 268,123.48

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.