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Finding the Third Proportional to 642,829.50 and 1,399,950

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Solution

The third proportional to 642,829.50 and 1,399,950 is: 3,048,802.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,829.50 : 1,399,950 = 1,399,950 : x
  2. Step 2: Convert to fraction form
    642,829.50/1,399,950 = 1,399,950/x
  3. Step 3: Cross multiply
    642,829.50x = 1,399,950 × 1,399,950
  4. Step 4: Simplify right side
    642,829.50x = 1,959,860,002,500
  5. Step 5: Solve for x
    x = 1,959,860,002,500/642,829.50
  6. Step 6: Final answer
    x = 3,048,802.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.