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Finding the Third Proportional to 290,542 and 632,546

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Solution

The third proportional to 290,542 and 632,546 is: 1,377,131.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,542 : 632,546 = 632,546 : x
  2. Step 2: Convert to fraction form
    290,542/632,546 = 632,546/x
  3. Step 3: Cross multiply
    290,542x = 632,546 × 632,546
  4. Step 4: Simplify right side
    290,542x = 400,114,442,116
  5. Step 5: Solve for x
    x = 400,114,442,116/290,542
  6. Step 6: Final answer
    x = 1,377,131.16

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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.