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Finding the Third Proportional to 285,059.13 and 619,734.38

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Solution

The third proportional to 285,059.13 and 619,734.38 is: 1,347,336.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,059.13 : 619,734.38 = 619,734.38 : x
  2. Step 2: Convert to fraction form
    285,059.13/619,734.38 = 619,734.38/x
  3. Step 3: Cross multiply
    285,059.13x = 619,734.38 × 619,734.38
  4. Step 4: Simplify right side
    285,059.13x = 384,070,695,556.64
  5. Step 5: Solve for x
    x = 384,070,695,556.64/285,059.13
  6. Step 6: Final answer
    x = 1,347,336.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.