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Finding the Third Proportional to 416,908.27 and 690,021.28

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Solution

The third proportional to 416,908.27 and 690,021.28 is: 1,142,048.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,908.27 : 690,021.28 = 690,021.28 : x
  2. Step 2: Convert to fraction form
    416,908.27/690,021.28 = 690,021.28/x
  3. Step 3: Cross multiply
    416,908.27x = 690,021.28 × 690,021.28
  4. Step 4: Simplify right side
    416,908.27x = 476,129,368,577.89
  5. Step 5: Solve for x
    x = 476,129,368,577.89/416,908.27
  6. Step 6: Final answer
    x = 1,142,048.28

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.