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Finding the Third Proportional to 991,121 and 1,575,296

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Solution

The third proportional to 991,121 and 1,575,296 is: 2,503,788.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    991,121 : 1,575,296 = 1,575,296 : x
  2. Step 2: Convert to fraction form
    991,121/1,575,296 = 1,575,296/x
  3. Step 3: Cross multiply
    991,121x = 1,575,296 × 1,575,296
  4. Step 4: Simplify right side
    991,121x = 2,481,557,487,616
  5. Step 5: Solve for x
    x = 2,481,557,487,616/991,121
  6. Step 6: Final answer
    x = 2,503,788.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.