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Finding the Third Proportional to 853,668 and 1,236,438

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Solution

The third proportional to 853,668 and 1,236,438 is: 1,790,835.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,668 : 1,236,438 = 1,236,438 : x
  2. Step 2: Convert to fraction form
    853,668/1,236,438 = 1,236,438/x
  3. Step 3: Cross multiply
    853,668x = 1,236,438 × 1,236,438
  4. Step 4: Simplify right side
    853,668x = 1,528,778,927,844
  5. Step 5: Solve for x
    x = 1,528,778,927,844/853,668
  6. Step 6: Final answer
    x = 1,790,835.46

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.