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Finding the Third Proportional to 30,840 and 46,395

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Solution

The third proportional to 30,840 and 46,395 is: 69,795.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,840 : 46,395 = 46,395 : x
  2. Step 2: Convert to fraction form
    30,840/46,395 = 46,395/x
  3. Step 3: Cross multiply
    30,840x = 46,395 × 46,395
  4. Step 4: Simplify right side
    30,840x = 2,152,496,025
  5. Step 5: Solve for x
    x = 2,152,496,025/30,840
  6. Step 6: Final answer
    x = 69,795.59

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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.