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Finding the Third Proportional to 328,666 and 690,540

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Solution

The third proportional to 328,666 and 690,540 is: 1,450,851.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,666 : 690,540 = 690,540 : x
  2. Step 2: Convert to fraction form
    328,666/690,540 = 690,540/x
  3. Step 3: Cross multiply
    328,666x = 690,540 × 690,540
  4. Step 4: Simplify right side
    328,666x = 476,845,491,600
  5. Step 5: Solve for x
    x = 476,845,491,600/328,666
  6. Step 6: Final answer
    x = 1,450,851.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.