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Finding the Third Proportional to 408,745.25 and 637,948.88

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Solution

The third proportional to 408,745.25 and 637,948.88 is: 995,678.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,745.25 : 637,948.88 = 637,948.88 : x
  2. Step 2: Convert to fraction form
    408,745.25/637,948.88 = 637,948.88/x
  3. Step 3: Cross multiply
    408,745.25x = 637,948.88 × 637,948.88
  4. Step 4: Simplify right side
    408,745.25x = 406,978,767,113.77
  5. Step 5: Solve for x
    x = 406,978,767,113.77/408,745.25
  6. Step 6: Final answer
    x = 995,678.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.