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Finding the Third Proportional to 207,954 and 455,490

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Solution

The third proportional to 207,954 and 455,490 is: 997,678.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,954 : 455,490 = 455,490 : x
  2. Step 2: Convert to fraction form
    207,954/455,490 = 455,490/x
  3. Step 3: Cross multiply
    207,954x = 455,490 × 455,490
  4. Step 4: Simplify right side
    207,954x = 207,471,140,100
  5. Step 5: Solve for x
    x = 207,471,140,100/207,954
  6. Step 6: Final answer
    x = 997,678.04

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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.