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Finding the Third Proportional to 853,668 and 1,286,131.50

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Solution

The third proportional to 853,668 and 1,286,131.50 is: 1,937,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,668 : 1,286,131.50 = 1,286,131.50 : x
  2. Step 2: Convert to fraction form
    853,668/1,286,131.50 = 1,286,131.50/x
  3. Step 3: Cross multiply
    853,668x = 1,286,131.50 × 1,286,131.50
  4. Step 4: Simplify right side
    853,668x = 1,654,134,235,292.25
  5. Step 5: Solve for x
    x = 1,654,134,235,292.25/853,668
  6. Step 6: Final answer
    x = 1,937,678.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.