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Finding the Third Proportional to 78,004 and 119,821

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Solution

The third proportional to 78,004 and 119,821 is: 184,055.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,004 : 119,821 = 119,821 : x
  2. Step 2: Convert to fraction form
    78,004/119,821 = 119,821/x
  3. Step 3: Cross multiply
    78,004x = 119,821 × 119,821
  4. Step 4: Simplify right side
    78,004x = 14,357,072,041
  5. Step 5: Solve for x
    x = 14,357,072,041/78,004
  6. Step 6: Final answer
    x = 184,055.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.