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Finding the Third Proportional to 76,783 and 118,455

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Solution

The third proportional to 76,783 and 118,455 is: 182,743.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,783 : 118,455 = 118,455 : x
  2. Step 2: Convert to fraction form
    76,783/118,455 = 118,455/x
  3. Step 3: Cross multiply
    76,783x = 118,455 × 118,455
  4. Step 4: Simplify right side
    76,783x = 14,031,587,025
  5. Step 5: Solve for x
    x = 14,031,587,025/76,783
  6. Step 6: Final answer
    x = 182,743.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.