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Finding the Third Proportional to 576,475 and 821,197

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Solution

The third proportional to 576,475 and 821,197 is: 1,169,807.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,475 : 821,197 = 821,197 : x
  2. Step 2: Convert to fraction form
    576,475/821,197 = 821,197/x
  3. Step 3: Cross multiply
    576,475x = 821,197 × 821,197
  4. Step 4: Simplify right side
    576,475x = 674,364,512,809
  5. Step 5: Solve for x
    x = 674,364,512,809/576,475
  6. Step 6: Final answer
    x = 1,169,807.04

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.