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Finding the Third Proportional to 388,361 and 524,699

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Solution

The third proportional to 388,361 and 524,699 is: 708,899.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,361 : 524,699 = 524,699 : x
  2. Step 2: Convert to fraction form
    388,361/524,699 = 524,699/x
  3. Step 3: Cross multiply
    388,361x = 524,699 × 524,699
  4. Step 4: Simplify right side
    388,361x = 275,309,040,601
  5. Step 5: Solve for x
    x = 275,309,040,601/388,361
  6. Step 6: Final answer
    x = 708,899.81

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.