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Finding the Third Proportional to 3,612,870.87 and 8,430,316.36

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Solution

The third proportional to 3,612,870.87 and 8,430,316.36 is: 19,671,401.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612,870.87 : 8,430,316.36 = 8,430,316.36 : x
  2. Step 2: Convert to fraction form
    3,612,870.87/8,430,316.36 = 8,430,316.36/x
  3. Step 3: Cross multiply
    3,612,870.87x = 8,430,316.36 × 8,430,316.36
  4. Step 4: Simplify right side
    3,612,870.87x = 71,070,233,906,797.03
  5. Step 5: Solve for x
    x = 71,070,233,906,797.03/3,612,870.87
  6. Step 6: Final answer
    x = 19,671,401.61

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.