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Finding the Third Proportional to 213,921 and 375,351.75

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Solution

The third proportional to 213,921 and 375,351.75 is: 658,602.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,921 : 375,351.75 = 375,351.75 : x
  2. Step 2: Convert to fraction form
    213,921/375,351.75 = 375,351.75/x
  3. Step 3: Cross multiply
    213,921x = 375,351.75 × 375,351.75
  4. Step 4: Simplify right side
    213,921x = 140,888,936,228.06
  5. Step 5: Solve for x
    x = 140,888,936,228.06/213,921
  6. Step 6: Final answer
    x = 658,602.64

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.