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Finding the Third Proportional to 292,176 and 628,740

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Solution

The third proportional to 292,176 and 628,740 is: 1,352,999.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,176 : 628,740 = 628,740 : x
  2. Step 2: Convert to fraction form
    292,176/628,740 = 628,740/x
  3. Step 3: Cross multiply
    292,176x = 628,740 × 628,740
  4. Step 4: Simplify right side
    292,176x = 395,313,987,600
  5. Step 5: Solve for x
    x = 395,313,987,600/292,176
  6. Step 6: Final answer
    x = 1,352,999.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.