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Finding the Third Proportional to 269,772 and 578,904

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Solution

The third proportional to 269,772 and 578,904 is: 1,242,270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,772 : 578,904 = 578,904 : x
  2. Step 2: Convert to fraction form
    269,772/578,904 = 578,904/x
  3. Step 3: Cross multiply
    269,772x = 578,904 × 578,904
  4. Step 4: Simplify right side
    269,772x = 335,129,841,216
  5. Step 5: Solve for x
    x = 335,129,841,216/269,772
  6. Step 6: Final answer
    x = 1,242,270.66

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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.