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Finding the Third Proportional to 388,482 and 524,847

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Solution

The third proportional to 388,482 and 524,847 is: 709,078.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,482 : 524,847 = 524,847 : x
  2. Step 2: Convert to fraction form
    388,482/524,847 = 524,847/x
  3. Step 3: Cross multiply
    388,482x = 524,847 × 524,847
  4. Step 4: Simplify right side
    388,482x = 275,464,373,409
  5. Step 5: Solve for x
    x = 275,464,373,409/388,482
  6. Step 6: Final answer
    x = 709,078.86

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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.