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Finding the Third Proportional to 46,366 and 101,480

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Solution

The third proportional to 46,366 and 101,480 is: 222,106.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,366 : 101,480 = 101,480 : x
  2. Step 2: Convert to fraction form
    46,366/101,480 = 101,480/x
  3. Step 3: Cross multiply
    46,366x = 101,480 × 101,480
  4. Step 4: Simplify right side
    46,366x = 10,298,190,400
  5. Step 5: Solve for x
    x = 10,298,190,400/46,366
  6. Step 6: Final answer
    x = 222,106.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.