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Finding the Third Proportional to 30,456 and 46,278

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Solution

The third proportional to 30,456 and 46,278 is: 70,319.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,456 : 46,278 = 46,278 : x
  2. Step 2: Convert to fraction form
    30,456/46,278 = 46,278/x
  3. Step 3: Cross multiply
    30,456x = 46,278 × 46,278
  4. Step 4: Simplify right side
    30,456x = 2,141,653,284
  5. Step 5: Solve for x
    x = 2,141,653,284/30,456
  6. Step 6: Final answer
    x = 70,319.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.