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Finding the Third Proportional to 76,090.78 and 118,280.67

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Solution

The third proportional to 76,090.78 and 118,280.67 is: 183,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,090.78 : 118,280.67 = 118,280.67 : x
  2. Step 2: Convert to fraction form
    76,090.78/118,280.67 = 118,280.67/x
  3. Step 3: Cross multiply
    76,090.78x = 118,280.67 × 118,280.67
  4. Step 4: Simplify right side
    76,090.78x = 13,990,317,339.20
  5. Step 5: Solve for x
    x = 13,990,317,339.20/76,090.78
  6. Step 6: Final answer
    x = 183,863.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.