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Finding the Third Proportional to 402,960 and 883,420

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Solution

The third proportional to 402,960 and 883,420 is: 1,936,745.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,960 : 883,420 = 883,420 : x
  2. Step 2: Convert to fraction form
    402,960/883,420 = 883,420/x
  3. Step 3: Cross multiply
    402,960x = 883,420 × 883,420
  4. Step 4: Simplify right side
    402,960x = 780,430,896,400
  5. Step 5: Solve for x
    x = 780,430,896,400/402,960
  6. Step 6: Final answer
    x = 1,936,745.33

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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.