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Finding the Third Proportional to 46,512 and 103,410

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Solution

The third proportional to 46,512 and 103,410 is: 229,911.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,512 : 103,410 = 103,410 : x
  2. Step 2: Convert to fraction form
    46,512/103,410 = 103,410/x
  3. Step 3: Cross multiply
    46,512x = 103,410 × 103,410
  4. Step 4: Simplify right side
    46,512x = 10,693,628,100
  5. Step 5: Solve for x
    x = 10,693,628,100/46,512
  6. Step 6: Final answer
    x = 229,911.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.