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Finding the Third Proportional to 208,810 and 447,140

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Solution

The third proportional to 208,810 and 447,140 is: 957,493.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,810 : 447,140 = 447,140 : x
  2. Step 2: Convert to fraction form
    208,810/447,140 = 447,140/x
  3. Step 3: Cross multiply
    208,810x = 447,140 × 447,140
  4. Step 4: Simplify right side
    208,810x = 199,934,179,600
  5. Step 5: Solve for x
    x = 199,934,179,600/208,810
  6. Step 6: Final answer
    x = 957,493.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.