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Finding the Third Proportional to 263,144 and 578,776

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Solution

The third proportional to 263,144 and 578,776 is: 1,272,997.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,144 : 578,776 = 578,776 : x
  2. Step 2: Convert to fraction form
    263,144/578,776 = 578,776/x
  3. Step 3: Cross multiply
    263,144x = 578,776 × 578,776
  4. Step 4: Simplify right side
    263,144x = 334,981,658,176
  5. Step 5: Solve for x
    x = 334,981,658,176/263,144
  6. Step 6: Final answer
    x = 1,272,997.52

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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.