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Finding the Third Proportional to 690,835.50 and 1,486,647

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Solution

The third proportional to 690,835.50 and 1,486,647 is: 3,199,197.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,835.50 : 1,486,647 = 1,486,647 : x
  2. Step 2: Convert to fraction form
    690,835.50/1,486,647 = 1,486,647/x
  3. Step 3: Cross multiply
    690,835.50x = 1,486,647 × 1,486,647
  4. Step 4: Simplify right side
    690,835.50x = 2,210,119,302,609
  5. Step 5: Solve for x
    x = 2,210,119,302,609/690,835.50
  6. Step 6: Final answer
    x = 3,199,197.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.