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Finding the Third Proportional to 1,218,108.50 and 1,702,939.50

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Solution

The third proportional to 1,218,108.50 and 1,702,939.50 is: 2,380,742.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218,108.50 : 1,702,939.50 = 1,702,939.50 : x
  2. Step 2: Convert to fraction form
    1,218,108.50/1,702,939.50 = 1,702,939.50/x
  3. Step 3: Cross multiply
    1,218,108.50x = 1,702,939.50 × 1,702,939.50
  4. Step 4: Simplify right side
    1,218,108.50x = 2,900,002,940,660.25
  5. Step 5: Solve for x
    x = 2,900,002,940,660.25/1,218,108.50
  6. Step 6: Final answer
    x = 2,380,742.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.