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Finding the Third Proportional to 76,590 and 114,966

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Solution

The third proportional to 76,590 and 114,966 is: 172,570.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,590 : 114,966 = 114,966 : x
  2. Step 2: Convert to fraction form
    76,590/114,966 = 114,966/x
  3. Step 3: Cross multiply
    76,590x = 114,966 × 114,966
  4. Step 4: Simplify right side
    76,590x = 13,217,181,156
  5. Step 5: Solve for x
    x = 13,217,181,156/76,590
  6. Step 6: Final answer
    x = 172,570.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.