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Finding the Third Proportional to 118,078.50 and 137,271.75

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Solution

The third proportional to 118,078.50 and 137,271.75 is: 159,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,078.50 : 137,271.75 = 137,271.75 : x
  2. Step 2: Convert to fraction form
    118,078.50/137,271.75 = 137,271.75/x
  3. Step 3: Cross multiply
    118,078.50x = 137,271.75 × 137,271.75
  4. Step 4: Simplify right side
    118,078.50x = 18,843,533,348.06
  5. Step 5: Solve for x
    x = 18,843,533,348.06/118,078.50
  6. Step 6: Final answer
    x = 159,584.80

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.