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Finding the Third Proportional to 280,381 and 616,835

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Solution

The third proportional to 280,381 and 616,835 is: 1,357,029.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,381 : 616,835 = 616,835 : x
  2. Step 2: Convert to fraction form
    280,381/616,835 = 616,835/x
  3. Step 3: Cross multiply
    280,381x = 616,835 × 616,835
  4. Step 4: Simplify right side
    280,381x = 380,485,417,225
  5. Step 5: Solve for x
    x = 380,485,417,225/280,381
  6. Step 6: Final answer
    x = 1,357,029.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.