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Finding the Third Proportional to 689,663 and 1,503,478

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Solution

The third proportional to 689,663 and 1,503,478 is: 3,277,609.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,663 : 1,503,478 = 1,503,478 : x
  2. Step 2: Convert to fraction form
    689,663/1,503,478 = 1,503,478/x
  3. Step 3: Cross multiply
    689,663x = 1,503,478 × 1,503,478
  4. Step 4: Simplify right side
    689,663x = 2,260,446,096,484
  5. Step 5: Solve for x
    x = 2,260,446,096,484/689,663
  6. Step 6: Final answer
    x = 3,277,609.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.