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Finding the Third Proportional to 911,428 and 1,994,393

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Solution

The third proportional to 911,428 and 1,994,393 is: 4,364,144.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,428 : 1,994,393 = 1,994,393 : x
  2. Step 2: Convert to fraction form
    911,428/1,994,393 = 1,994,393/x
  3. Step 3: Cross multiply
    911,428x = 1,994,393 × 1,994,393
  4. Step 4: Simplify right side
    911,428x = 3,977,603,438,449
  5. Step 5: Solve for x
    x = 3,977,603,438,449/911,428
  6. Step 6: Final answer
    x = 4,364,144.44

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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.