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Finding the Third Proportional to 76,083 and 154,470

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Solution

The third proportional to 76,083 and 154,470 is: 313,617.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,083 : 154,470 = 154,470 : x
  2. Step 2: Convert to fraction form
    76,083/154,470 = 154,470/x
  3. Step 3: Cross multiply
    76,083x = 154,470 × 154,470
  4. Step 4: Simplify right side
    76,083x = 23,860,980,900
  5. Step 5: Solve for x
    x = 23,860,980,900/76,083
  6. Step 6: Final answer
    x = 313,617.77

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.