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Finding the Third Proportional to 384,856 and 821,984

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Solution

The third proportional to 384,856 and 821,984 is: 1,755,611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,856 : 821,984 = 821,984 : x
  2. Step 2: Convert to fraction form
    384,856/821,984 = 821,984/x
  3. Step 3: Cross multiply
    384,856x = 821,984 × 821,984
  4. Step 4: Simplify right side
    384,856x = 675,657,696,256
  5. Step 5: Solve for x
    x = 675,657,696,256/384,856
  6. Step 6: Final answer
    x = 1,755,611.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.