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Finding the Third Proportional to 1,721,347 and 3,782,407

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Solution

The third proportional to 1,721,347 and 3,782,407 is: 8,311,283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721,347 : 3,782,407 = 3,782,407 : x
  2. Step 2: Convert to fraction form
    1,721,347/3,782,407 = 3,782,407/x
  3. Step 3: Cross multiply
    1,721,347x = 3,782,407 × 3,782,407
  4. Step 4: Simplify right side
    1,721,347x = 14,306,602,713,649
  5. Step 5: Solve for x
    x = 14,306,602,713,649/1,721,347
  6. Step 6: Final answer
    x = 8,311,283.38

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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.