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Finding the Third Proportional to 280,656 and 620,400

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Solution

The third proportional to 280,656 and 620,400 is: 1,371,416.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,656 : 620,400 = 620,400 : x
  2. Step 2: Convert to fraction form
    280,656/620,400 = 620,400/x
  3. Step 3: Cross multiply
    280,656x = 620,400 × 620,400
  4. Step 4: Simplify right side
    280,656x = 384,896,160,000
  5. Step 5: Solve for x
    x = 384,896,160,000/280,656
  6. Step 6: Final answer
    x = 1,371,416.11

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.