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Finding the Third Proportional to 280,409 and 616,890

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Solution

The third proportional to 280,409 and 616,890 is: 1,357,136.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,409 : 616,890 = 616,890 : x
  2. Step 2: Convert to fraction form
    280,409/616,890 = 616,890/x
  3. Step 3: Cross multiply
    280,409x = 616,890 × 616,890
  4. Step 4: Simplify right side
    280,409x = 380,553,272,100
  5. Step 5: Solve for x
    x = 380,553,272,100/280,409
  6. Step 6: Final answer
    x = 1,357,136.44

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