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Finding the Third Proportional to 290,441.25 and 632,554.88

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Solution

The third proportional to 290,441.25 and 632,554.88 is: 1,377,647.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,441.25 : 632,554.88 = 632,554.88 : x
  2. Step 2: Convert to fraction form
    290,441.25/632,554.88 = 632,554.88/x
  3. Step 3: Cross multiply
    290,441.25x = 632,554.88 × 632,554.88
  4. Step 4: Simplify right side
    290,441.25x = 400,125,669,886.27
  5. Step 5: Solve for x
    x = 400,125,669,886.27/290,441.25
  6. Step 6: Final answer
    x = 1,377,647.53

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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.