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Finding the Third Proportional to 46,455.75 and 101,214.56

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Solution

The third proportional to 46,455.75 and 101,214.56 is: 220,519.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,455.75 : 101,214.56 = 101,214.56 : x
  2. Step 2: Convert to fraction form
    46,455.75/101,214.56 = 101,214.56/x
  3. Step 3: Cross multiply
    46,455.75x = 101,214.56 × 101,214.56
  4. Step 4: Simplify right side
    46,455.75x = 10,244,387,662.07
  5. Step 5: Solve for x
    x = 10,244,387,662.07/46,455.75
  6. Step 6: Final answer
    x = 220,519.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.