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Finding the Third Proportional to 479,196 and 1,032,201

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Solution

The third proportional to 479,196 and 1,032,201 is: 2,223,388.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,196 : 1,032,201 = 1,032,201 : x
  2. Step 2: Convert to fraction form
    479,196/1,032,201 = 1,032,201/x
  3. Step 3: Cross multiply
    479,196x = 1,032,201 × 1,032,201
  4. Step 4: Simplify right side
    479,196x = 1,065,438,904,401
  5. Step 5: Solve for x
    x = 1,065,438,904,401/479,196
  6. Step 6: Final answer
    x = 2,223,388.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.