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Finding the Third Proportional to 388,366 and 524,707

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Solution

The third proportional to 388,366 and 524,707 is: 708,912.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,366 : 524,707 = 524,707 : x
  2. Step 2: Convert to fraction form
    388,366/524,707 = 524,707/x
  3. Step 3: Cross multiply
    388,366x = 524,707 × 524,707
  4. Step 4: Simplify right side
    388,366x = 275,317,435,849
  5. Step 5: Solve for x
    x = 275,317,435,849/388,366
  6. Step 6: Final answer
    x = 708,912.30

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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.