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Finding the Third Proportional to 265,415 and 422,166

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Solution

The third proportional to 265,415 and 422,166 is: 671,492.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,415 : 422,166 = 422,166 : x
  2. Step 2: Convert to fraction form
    265,415/422,166 = 422,166/x
  3. Step 3: Cross multiply
    265,415x = 422,166 × 422,166
  4. Step 4: Simplify right side
    265,415x = 178,224,131,556
  5. Step 5: Solve for x
    x = 178,224,131,556/265,415
  6. Step 6: Final answer
    x = 671,492.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.