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Finding the Third Proportional to 265,640 and 406,533

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Solution

The third proportional to 265,640 and 406,533 is: 622,154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,640 : 406,533 = 406,533 : x
  2. Step 2: Convert to fraction form
    265,640/406,533 = 406,533/x
  3. Step 3: Cross multiply
    265,640x = 406,533 × 406,533
  4. Step 4: Simplify right side
    265,640x = 165,269,080,089
  5. Step 5: Solve for x
    x = 165,269,080,089/265,640
  6. Step 6: Final answer
    x = 622,154.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.