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Finding the Third Proportional to 725,544 and 1,686,465

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Solution

The third proportional to 725,544 and 1,686,465 is: 3,920,043.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,544 : 1,686,465 = 1,686,465 : x
  2. Step 2: Convert to fraction form
    725,544/1,686,465 = 1,686,465/x
  3. Step 3: Cross multiply
    725,544x = 1,686,465 × 1,686,465
  4. Step 4: Simplify right side
    725,544x = 2,844,164,196,225
  5. Step 5: Solve for x
    x = 2,844,164,196,225/725,544
  6. Step 6: Final answer
    x = 3,920,043.71

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.