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Finding the Third Proportional to 214,120.50 and 465,145.50

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Solution

The third proportional to 214,120.50 and 465,145.50 is: 1,010,460.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,120.50 : 465,145.50 = 465,145.50 : x
  2. Step 2: Convert to fraction form
    214,120.50/465,145.50 = 465,145.50/x
  3. Step 3: Cross multiply
    214,120.50x = 465,145.50 × 465,145.50
  4. Step 4: Simplify right side
    214,120.50x = 216,360,336,170.25
  5. Step 5: Solve for x
    x = 216,360,336,170.25/214,120.50
  6. Step 6: Final answer
    x = 1,010,460.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.