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Finding the Third Proportional to 292,200 and 628,786

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Solution

The third proportional to 292,200 and 628,786 is: 1,353,086.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,200 : 628,786 = 628,786 : x
  2. Step 2: Convert to fraction form
    292,200/628,786 = 628,786/x
  3. Step 3: Cross multiply
    292,200x = 628,786 × 628,786
  4. Step 4: Simplify right side
    292,200x = 395,371,833,796
  5. Step 5: Solve for x
    x = 395,371,833,796/292,200
  6. Step 6: Final answer
    x = 1,353,086.36

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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.