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Finding the Third Proportional to 263,889 and 575,142

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Solution

The third proportional to 263,889 and 575,142 is: 1,253,513.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,889 : 575,142 = 575,142 : x
  2. Step 2: Convert to fraction form
    263,889/575,142 = 575,142/x
  3. Step 3: Cross multiply
    263,889x = 575,142 × 575,142
  4. Step 4: Simplify right side
    263,889x = 330,788,320,164
  5. Step 5: Solve for x
    x = 330,788,320,164/263,889
  6. Step 6: Final answer
    x = 1,253,513.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.