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Finding the Third Proportional to 292,828 and 639,196

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Solution

The third proportional to 292,828 and 639,196 is: 1,395,261.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,828 : 639,196 = 639,196 : x
  2. Step 2: Convert to fraction form
    292,828/639,196 = 639,196/x
  3. Step 3: Cross multiply
    292,828x = 639,196 × 639,196
  4. Step 4: Simplify right side
    292,828x = 408,571,526,416
  5. Step 5: Solve for x
    x = 408,571,526,416/292,828
  6. Step 6: Final answer
    x = 1,395,261.13

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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.