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Finding the Third Proportional to 75,038 and 118,821

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Solution

The third proportional to 75,038 and 118,821 is: 188,150.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,038 : 118,821 = 118,821 : x
  2. Step 2: Convert to fraction form
    75,038/118,821 = 118,821/x
  3. Step 3: Cross multiply
    75,038x = 118,821 × 118,821
  4. Step 4: Simplify right side
    75,038x = 14,118,430,041
  5. Step 5: Solve for x
    x = 14,118,430,041/75,038
  6. Step 6: Final answer
    x = 188,150.40

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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.