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Finding the Third Proportional to 1,243,690.88 and 1,865,171.81

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Solution

The third proportional to 1,243,690.88 and 1,865,171.81 is: 2,797,211.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243,690.88 : 1,865,171.81 = 1,865,171.81 : x
  2. Step 2: Convert to fraction form
    1,243,690.88/1,865,171.81 = 1,865,171.81/x
  3. Step 3: Cross multiply
    1,243,690.88x = 1,865,171.81 × 1,865,171.81
  4. Step 4: Simplify right side
    1,243,690.88x = 3,478,865,890,144.54
  5. Step 5: Solve for x
    x = 3,478,865,890,144.54/1,243,690.88
  6. Step 6: Final answer
    x = 2,797,211.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.