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Finding the Third Proportional to 290,533 and 632,511

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Solution

The third proportional to 290,533 and 632,511 is: 1,377,021.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,533 : 632,511 = 632,511 : x
  2. Step 2: Convert to fraction form
    290,533/632,511 = 632,511/x
  3. Step 3: Cross multiply
    290,533x = 632,511 × 632,511
  4. Step 4: Simplify right side
    290,533x = 400,070,165,121
  5. Step 5: Solve for x
    x = 400,070,165,121/290,533
  6. Step 6: Final answer
    x = 1,377,021.42

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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.