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Finding the Third Proportional to 321,700 and 679,688

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Solution

The third proportional to 321,700 and 679,688 is: 1,436,045.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,700 : 679,688 = 679,688 : x
  2. Step 2: Convert to fraction form
    321,700/679,688 = 679,688/x
  3. Step 3: Cross multiply
    321,700x = 679,688 × 679,688
  4. Step 4: Simplify right side
    321,700x = 461,975,777,344
  5. Step 5: Solve for x
    x = 461,975,777,344/321,700
  6. Step 6: Final answer
    x = 1,436,045.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.