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Finding the Third Proportional to 207,910 and 455,308

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Solution

The third proportional to 207,910 and 455,308 is: 997,091.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,910 : 455,308 = 455,308 : x
  2. Step 2: Convert to fraction form
    207,910/455,308 = 455,308/x
  3. Step 3: Cross multiply
    207,910x = 455,308 × 455,308
  4. Step 4: Simplify right side
    207,910x = 207,305,374,864
  5. Step 5: Solve for x
    x = 207,305,374,864/207,910
  6. Step 6: Final answer
    x = 997,091.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.