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Finding the Third Proportional to 409,072 and 883,480

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Solution

The third proportional to 409,072 and 883,480 is: 1,908,067.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,072 : 883,480 = 883,480 : x
  2. Step 2: Convert to fraction form
    409,072/883,480 = 883,480/x
  3. Step 3: Cross multiply
    409,072x = 883,480 × 883,480
  4. Step 4: Simplify right side
    409,072x = 780,536,910,400
  5. Step 5: Solve for x
    x = 780,536,910,400/409,072
  6. Step 6: Final answer
    x = 1,908,067.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.