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Finding the Third Proportional to 1,721,012 and 3,781,739

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Solution

The third proportional to 1,721,012 and 3,781,739 is: 8,309,965.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721,012 : 3,781,739 = 3,781,739 : x
  2. Step 2: Convert to fraction form
    1,721,012/3,781,739 = 3,781,739/x
  3. Step 3: Cross multiply
    1,721,012x = 3,781,739 × 3,781,739
  4. Step 4: Simplify right side
    1,721,012x = 14,301,549,864,121
  5. Step 5: Solve for x
    x = 14,301,549,864,121/1,721,012
  6. Step 6: Final answer
    x = 8,309,965.22

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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.