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Finding the Third Proportional to 427,987.50 and 903,723

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Solution

The third proportional to 427,987.50 and 903,723 is: 1,908,268.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,987.50 : 903,723 = 903,723 : x
  2. Step 2: Convert to fraction form
    427,987.50/903,723 = 903,723/x
  3. Step 3: Cross multiply
    427,987.50x = 903,723 × 903,723
  4. Step 4: Simplify right side
    427,987.50x = 816,715,260,729
  5. Step 5: Solve for x
    x = 816,715,260,729/427,987.50
  6. Step 6: Final answer
    x = 1,908,268.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.