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Finding the Third Proportional to 642,296 and 980,200

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Solution

The third proportional to 642,296 and 980,200 is: 1,495,871.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,296 : 980,200 = 980,200 : x
  2. Step 2: Convert to fraction form
    642,296/980,200 = 980,200/x
  3. Step 3: Cross multiply
    642,296x = 980,200 × 980,200
  4. Step 4: Simplify right side
    642,296x = 960,792,040,000
  5. Step 5: Solve for x
    x = 960,792,040,000/642,296
  6. Step 6: Final answer
    x = 1,495,871.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.