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Finding the Third Proportional to 280,345 and 597,388

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Solution

The third proportional to 280,345 and 597,388 is: 1,272,975.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,345 : 597,388 = 597,388 : x
  2. Step 2: Convert to fraction form
    280,345/597,388 = 597,388/x
  3. Step 3: Cross multiply
    280,345x = 597,388 × 597,388
  4. Step 4: Simplify right side
    280,345x = 356,872,422,544
  5. Step 5: Solve for x
    x = 356,872,422,544/280,345
  6. Step 6: Final answer
    x = 1,272,975.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.