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Finding the Third Proportional to 55,819 and 121,502

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Solution

The third proportional to 55,819 and 121,502 is: 264,475.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,819 : 121,502 = 121,502 : x
  2. Step 2: Convert to fraction form
    55,819/121,502 = 121,502/x
  3. Step 3: Cross multiply
    55,819x = 121,502 × 121,502
  4. Step 4: Simplify right side
    55,819x = 14,762,736,004
  5. Step 5: Solve for x
    x = 14,762,736,004/55,819
  6. Step 6: Final answer
    x = 264,475.11

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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.