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Finding the Third Proportional to 1,215,712 and 2,814,157

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Solution

The third proportional to 1,215,712 and 2,814,157 is: 6,514,272.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215,712 : 2,814,157 = 2,814,157 : x
  2. Step 2: Convert to fraction form
    1,215,712/2,814,157 = 2,814,157/x
  3. Step 3: Cross multiply
    1,215,712x = 2,814,157 × 2,814,157
  4. Step 4: Simplify right side
    1,215,712x = 7,919,479,620,649
  5. Step 5: Solve for x
    x = 7,919,479,620,649/1,215,712
  6. Step 6: Final answer
    x = 6,514,272.81

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.