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Finding the Third Proportional to 78,360 and 119,844

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Solution

The third proportional to 78,360 and 119,844 is: 183,289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,360 : 119,844 = 119,844 : x
  2. Step 2: Convert to fraction form
    78,360/119,844 = 119,844/x
  3. Step 3: Cross multiply
    78,360x = 119,844 × 119,844
  4. Step 4: Simplify right side
    78,360x = 14,362,584,336
  5. Step 5: Solve for x
    x = 14,362,584,336/78,360
  6. Step 6: Final answer
    x = 183,289.74

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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.