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Finding the Third Proportional to 124,578 and 280,341

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Solution

The third proportional to 124,578 and 280,341 is: 630,858.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,578 : 280,341 = 280,341 : x
  2. Step 2: Convert to fraction form
    124,578/280,341 = 280,341/x
  3. Step 3: Cross multiply
    124,578x = 280,341 × 280,341
  4. Step 4: Simplify right side
    124,578x = 78,591,076,281
  5. Step 5: Solve for x
    x = 78,591,076,281/124,578
  6. Step 6: Final answer
    x = 630,858.39

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.