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Finding the Third Proportional to 295,339.88 and 644,132.25

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Solution

The third proportional to 295,339.88 and 644,132.25 is: 1,404,843.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,339.88 : 644,132.25 = 644,132.25 : x
  2. Step 2: Convert to fraction form
    295,339.88/644,132.25 = 644,132.25/x
  3. Step 3: Cross multiply
    295,339.88x = 644,132.25 × 644,132.25
  4. Step 4: Simplify right side
    295,339.88x = 414,906,355,490.06
  5. Step 5: Solve for x
    x = 414,906,355,490.06/295,339.88
  6. Step 6: Final answer
    x = 1,404,843.68

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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.