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Finding the Third Proportional to 1,721,354 and 3,782,421

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Solution

The third proportional to 1,721,354 and 3,782,421 is: 8,311,311.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721,354 : 3,782,421 = 3,782,421 : x
  2. Step 2: Convert to fraction form
    1,721,354/3,782,421 = 3,782,421/x
  3. Step 3: Cross multiply
    1,721,354x = 3,782,421 × 3,782,421
  4. Step 4: Simplify right side
    1,721,354x = 14,306,708,621,241
  5. Step 5: Solve for x
    x = 14,306,708,621,241/1,721,354
  6. Step 6: Final answer
    x = 8,311,311.11

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Why These Related Problems?

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