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Finding the Third Proportional to 268,383.38 and 578,802.38

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Solution

The third proportional to 268,383.38 and 578,802.38 is: 1,248,259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,383.38 : 578,802.38 = 578,802.38 : x
  2. Step 2: Convert to fraction form
    268,383.38/578,802.38 = 578,802.38/x
  3. Step 3: Cross multiply
    268,383.38x = 578,802.38 × 578,802.38
  4. Step 4: Simplify right side
    268,383.38x = 335,012,189,305.64
  5. Step 5: Solve for x
    x = 335,012,189,305.64/268,383.38
  6. Step 6: Final answer
    x = 1,248,259.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.