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Finding the Third Proportional to 321,142 and 699,488

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Solution

The third proportional to 321,142 and 699,488 is: 1,523,573.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,142 : 699,488 = 699,488 : x
  2. Step 2: Convert to fraction form
    321,142/699,488 = 699,488/x
  3. Step 3: Cross multiply
    321,142x = 699,488 × 699,488
  4. Step 4: Simplify right side
    321,142x = 489,283,462,144
  5. Step 5: Solve for x
    x = 489,283,462,144/321,142
  6. Step 6: Final answer
    x = 1,523,573.57

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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.