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Finding the Third Proportional to 78,480 and 120,024

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Solution

The third proportional to 78,480 and 120,024 is: 183,559.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,480 : 120,024 = 120,024 : x
  2. Step 2: Convert to fraction form
    78,480/120,024 = 120,024/x
  3. Step 3: Cross multiply
    78,480x = 120,024 × 120,024
  4. Step 4: Simplify right side
    78,480x = 14,405,760,576
  5. Step 5: Solve for x
    x = 14,405,760,576/78,480
  6. Step 6: Final answer
    x = 183,559.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.