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Finding the Third Proportional to 210,455 and 447,200

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Solution

The third proportional to 210,455 and 447,200 is: 950,264.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,455 : 447,200 = 447,200 : x
  2. Step 2: Convert to fraction form
    210,455/447,200 = 447,200/x
  3. Step 3: Cross multiply
    210,455x = 447,200 × 447,200
  4. Step 4: Simplify right side
    210,455x = 199,987,840,000
  5. Step 5: Solve for x
    x = 199,987,840,000/210,455
  6. Step 6: Final answer
    x = 950,264.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.