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Finding the Third Proportional to 105,513 and 214,929

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Solution

The third proportional to 105,513 and 214,929 is: 437,808.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,513 : 214,929 = 214,929 : x
  2. Step 2: Convert to fraction form
    105,513/214,929 = 214,929/x
  3. Step 3: Cross multiply
    105,513x = 214,929 × 214,929
  4. Step 4: Simplify right side
    105,513x = 46,194,475,041
  5. Step 5: Solve for x
    x = 46,194,475,041/105,513
  6. Step 6: Final answer
    x = 437,808.37

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.