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Finding the Third Proportional to 263,090.25 and 578,668.50

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Solution

The third proportional to 263,090.25 and 578,668.50 is: 1,272,784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,090.25 : 578,668.50 = 578,668.50 : x
  2. Step 2: Convert to fraction form
    263,090.25/578,668.50 = 578,668.50/x
  3. Step 3: Cross multiply
    263,090.25x = 578,668.50 × 578,668.50
  4. Step 4: Simplify right side
    263,090.25x = 334,857,232,892.25
  5. Step 5: Solve for x
    x = 334,857,232,892.25/263,090.25
  6. Step 6: Final answer
    x = 1,272,784.65

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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.