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Finding the Third Proportional to 207,808 and 447,397

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Solution

The third proportional to 207,808 and 447,397 is: 963,216.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,808 : 447,397 = 447,397 : x
  2. Step 2: Convert to fraction form
    207,808/447,397 = 447,397/x
  3. Step 3: Cross multiply
    207,808x = 447,397 × 447,397
  4. Step 4: Simplify right side
    207,808x = 200,164,075,609
  5. Step 5: Solve for x
    x = 200,164,075,609/207,808
  6. Step 6: Final answer
    x = 963,216.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.