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Finding the Third Proportional to 1,676,863.50 and 3,619,407

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Solution

The third proportional to 1,676,863.50 and 3,619,407 is: 7,812,267.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676,863.50 : 3,619,407 = 3,619,407 : x
  2. Step 2: Convert to fraction form
    1,676,863.50/3,619,407 = 3,619,407/x
  3. Step 3: Cross multiply
    1,676,863.50x = 3,619,407 × 3,619,407
  4. Step 4: Simplify right side
    1,676,863.50x = 13,100,107,031,649
  5. Step 5: Solve for x
    x = 13,100,107,031,649/1,676,863.50
  6. Step 6: Final answer
    x = 7,812,267.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.