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Finding the Third Proportional to 689,664 and 1,503,480

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Solution

The third proportional to 689,664 and 1,503,480 is: 3,277,613.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,664 : 1,503,480 = 1,503,480 : x
  2. Step 2: Convert to fraction form
    689,664/1,503,480 = 1,503,480/x
  3. Step 3: Cross multiply
    689,664x = 1,503,480 × 1,503,480
  4. Step 4: Simplify right side
    689,664x = 2,260,452,110,400
  5. Step 5: Solve for x
    x = 2,260,452,110,400/689,664
  6. Step 6: Final answer
    x = 3,277,613.61

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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.