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Finding the Third Proportional to 328,666 and 690,534

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Solution

The third proportional to 328,666 and 690,534 is: 1,450,826.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,666 : 690,534 = 690,534 : x
  2. Step 2: Convert to fraction form
    328,666/690,534 = 690,534/x
  3. Step 3: Cross multiply
    328,666x = 690,534 × 690,534
  4. Step 4: Simplify right side
    328,666x = 476,837,205,156
  5. Step 5: Solve for x
    x = 476,837,205,156/328,666
  6. Step 6: Final answer
    x = 1,450,826.08

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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.