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Finding the Third Proportional to 568,480 and 821,284

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Solution

The third proportional to 568,480 and 821,284 is: 1,186,510.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,480 : 821,284 = 821,284 : x
  2. Step 2: Convert to fraction form
    568,480/821,284 = 821,284/x
  3. Step 3: Cross multiply
    568,480x = 821,284 × 821,284
  4. Step 4: Simplify right side
    568,480x = 674,507,408,656
  5. Step 5: Solve for x
    x = 674,507,408,656/568,480
  6. Step 6: Final answer
    x = 1,186,510.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.