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Finding the Third Proportional to 782,401 and 1,668,142.50

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Solution

The third proportional to 782,401 and 1,668,142.50 is: 3,556,615.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,401 : 1,668,142.50 = 1,668,142.50 : x
  2. Step 2: Convert to fraction form
    782,401/1,668,142.50 = 1,668,142.50/x
  3. Step 3: Cross multiply
    782,401x = 1,668,142.50 × 1,668,142.50
  4. Step 4: Simplify right side
    782,401x = 2,782,699,400,306.25
  5. Step 5: Solve for x
    x = 2,782,699,400,306.25/782,401
  6. Step 6: Final answer
    x = 3,556,615.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.