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Finding the Third Proportional to 263,142 and 578,772

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Solution

The third proportional to 263,142 and 578,772 is: 1,272,989.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,142 : 578,772 = 578,772 : x
  2. Step 2: Convert to fraction form
    263,142/578,772 = 578,772/x
  3. Step 3: Cross multiply
    263,142x = 578,772 × 578,772
  4. Step 4: Simplify right side
    263,142x = 334,977,027,984
  5. Step 5: Solve for x
    x = 334,977,027,984/263,142
  6. Step 6: Final answer
    x = 1,272,989.59

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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.