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Finding the Third Proportional to 280,426 and 616,927

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Solution

The third proportional to 280,426 and 616,927 is: 1,357,216.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,426 : 616,927 = 616,927 : x
  2. Step 2: Convert to fraction form
    280,426/616,927 = 616,927/x
  3. Step 3: Cross multiply
    280,426x = 616,927 × 616,927
  4. Step 4: Simplify right side
    280,426x = 380,598,923,329
  5. Step 5: Solve for x
    x = 380,598,923,329/280,426
  6. Step 6: Final answer
    x = 1,357,216.96

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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.