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Finding the Third Proportional to 890,509 and 2,099,987

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Solution

The third proportional to 890,509 and 2,099,987 is: 4,952,162.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,509 : 2,099,987 = 2,099,987 : x
  2. Step 2: Convert to fraction form
    890,509/2,099,987 = 2,099,987/x
  3. Step 3: Cross multiply
    890,509x = 2,099,987 × 2,099,987
  4. Step 4: Simplify right side
    890,509x = 4,409,945,400,169
  5. Step 5: Solve for x
    x = 4,409,945,400,169/890,509
  6. Step 6: Final answer
    x = 4,952,162.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.