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Finding the Third Proportional to 292,250 and 628,888

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Solution

The third proportional to 292,250 and 628,888 is: 1,353,293.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,250 : 628,888 = 628,888 : x
  2. Step 2: Convert to fraction form
    292,250/628,888 = 628,888/x
  3. Step 3: Cross multiply
    292,250x = 628,888 × 628,888
  4. Step 4: Simplify right side
    292,250x = 395,500,116,544
  5. Step 5: Solve for x
    x = 395,500,116,544/292,250
  6. Step 6: Final answer
    x = 1,353,293.81

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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.