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Finding the Third Proportional to 74,838 and 118,480.50

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Solution

The third proportional to 74,838 and 118,480.50 is: 187,573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,838 : 118,480.50 = 118,480.50 : x
  2. Step 2: Convert to fraction form
    74,838/118,480.50 = 118,480.50/x
  3. Step 3: Cross multiply
    74,838x = 118,480.50 × 118,480.50
  4. Step 4: Simplify right side
    74,838x = 14,037,628,880.25
  5. Step 5: Solve for x
    x = 14,037,628,880.25/74,838
  6. Step 6: Final answer
    x = 187,573.54

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.