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Finding the Third Proportional to 214,989 and 447,623

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Solution

The third proportional to 214,989 and 447,623 is: 931,984.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,989 : 447,623 = 447,623 : x
  2. Step 2: Convert to fraction form
    214,989/447,623 = 447,623/x
  3. Step 3: Cross multiply
    214,989x = 447,623 × 447,623
  4. Step 4: Simplify right side
    214,989x = 200,366,350,129
  5. Step 5: Solve for x
    x = 200,366,350,129/214,989
  6. Step 6: Final answer
    x = 931,984.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.