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Finding the Third Proportional to 690,102 and 1,508,142.50

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Solution

The third proportional to 690,102 and 1,508,142.50 is: 3,295,880.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,102 : 1,508,142.50 = 1,508,142.50 : x
  2. Step 2: Convert to fraction form
    690,102/1,508,142.50 = 1,508,142.50/x
  3. Step 3: Cross multiply
    690,102x = 1,508,142.50 × 1,508,142.50
  4. Step 4: Simplify right side
    690,102x = 2,274,493,800,306.25
  5. Step 5: Solve for x
    x = 2,274,493,800,306.25/690,102
  6. Step 6: Final answer
    x = 3,295,880.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.