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Finding the Third Proportional to 55,502 and 121,154

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Solution

The third proportional to 55,502 and 121,154 is: 264,464.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,502 : 121,154 = 121,154 : x
  2. Step 2: Convert to fraction form
    55,502/121,154 = 121,154/x
  3. Step 3: Cross multiply
    55,502x = 121,154 × 121,154
  4. Step 4: Simplify right side
    55,502x = 14,678,291,716
  5. Step 5: Solve for x
    x = 14,678,291,716/55,502
  6. Step 6: Final answer
    x = 264,464.19

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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.