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Finding the Third Proportional to 290,546 and 632,556

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Solution

The third proportional to 290,546 and 632,556 is: 1,377,155.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,546 : 632,556 = 632,556 : x
  2. Step 2: Convert to fraction form
    290,546/632,556 = 632,556/x
  3. Step 3: Cross multiply
    290,546x = 632,556 × 632,556
  4. Step 4: Simplify right side
    290,546x = 400,127,093,136
  5. Step 5: Solve for x
    x = 400,127,093,136/290,546
  6. Step 6: Final answer
    x = 1,377,155.75

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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.