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Finding the Third Proportional to 207,876 and 455,240

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Solution

The third proportional to 207,876 and 455,240 is: 996,957.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,876 : 455,240 = 455,240 : x
  2. Step 2: Convert to fraction form
    207,876/455,240 = 455,240/x
  3. Step 3: Cross multiply
    207,876x = 455,240 × 455,240
  4. Step 4: Simplify right side
    207,876x = 207,243,457,600
  5. Step 5: Solve for x
    x = 207,243,457,600/207,876
  6. Step 6: Final answer
    x = 996,957.12

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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.