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Finding the Third Proportional to 690,855 and 1,491,639

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Solution

The third proportional to 690,855 and 1,491,639 is: 3,220,627.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,855 : 1,491,639 = 1,491,639 : x
  2. Step 2: Convert to fraction form
    690,855/1,491,639 = 1,491,639/x
  3. Step 3: Cross multiply
    690,855x = 1,491,639 × 1,491,639
  4. Step 4: Simplify right side
    690,855x = 2,224,986,906,321
  5. Step 5: Solve for x
    x = 2,224,986,906,321/690,855
  6. Step 6: Final answer
    x = 3,220,627.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.