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Finding the Third Proportional to 262,800 and 578,736

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Solution

The third proportional to 262,800 and 578,736 is: 1,274,487.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,800 : 578,736 = 578,736 : x
  2. Step 2: Convert to fraction form
    262,800/578,736 = 578,736/x
  3. Step 3: Cross multiply
    262,800x = 578,736 × 578,736
  4. Step 4: Simplify right side
    262,800x = 334,935,357,696
  5. Step 5: Solve for x
    x = 334,935,357,696/262,800
  6. Step 6: Final answer
    x = 1,274,487.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.