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Finding the Third Proportional to 292,997.25 and 621,966

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Solution

The third proportional to 292,997.25 and 621,966 is: 1,320,291.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,997.25 : 621,966 = 621,966 : x
  2. Step 2: Convert to fraction form
    292,997.25/621,966 = 621,966/x
  3. Step 3: Cross multiply
    292,997.25x = 621,966 × 621,966
  4. Step 4: Simplify right side
    292,997.25x = 386,841,705,156
  5. Step 5: Solve for x
    x = 386,841,705,156/292,997.25
  6. Step 6: Final answer
    x = 1,320,291.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.