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Finding the Third Proportional to 292,443.75 and 628,400.25

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Solution

The third proportional to 292,443.75 and 628,400.25 is: 1,350,300.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,443.75 : 628,400.25 = 628,400.25 : x
  2. Step 2: Convert to fraction form
    292,443.75/628,400.25 = 628,400.25/x
  3. Step 3: Cross multiply
    292,443.75x = 628,400.25 × 628,400.25
  4. Step 4: Simplify right side
    292,443.75x = 394,886,874,200.06
  5. Step 5: Solve for x
    x = 394,886,874,200.06/292,443.75
  6. Step 6: Final answer
    x = 1,350,300.27

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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.