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Finding the Third Proportional to 263,090.50 and 578,669

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Solution

The third proportional to 263,090.50 and 578,669 is: 1,272,785.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,090.50 : 578,669 = 578,669 : x
  2. Step 2: Convert to fraction form
    263,090.50/578,669 = 578,669/x
  3. Step 3: Cross multiply
    263,090.50x = 578,669 × 578,669
  4. Step 4: Simplify right side
    263,090.50x = 334,857,811,561
  5. Step 5: Solve for x
    x = 334,857,811,561/263,090.50
  6. Step 6: Final answer
    x = 1,272,785.64

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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.