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Finding the Third Proportional to 8,378,959.50 and 12,812,100.19

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Solution

The third proportional to 8,378,959.50 and 12,812,100.19 is: 19,590,727.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378,959.50 : 12,812,100.19 = 12,812,100.19 : x
  2. Step 2: Convert to fraction form
    8,378,959.50/12,812,100.19 = 12,812,100.19/x
  3. Step 3: Cross multiply
    8,378,959.50x = 12,812,100.19 × 12,812,100.19
  4. Step 4: Simplify right side
    8,378,959.50x = 164,149,911,214,537.53
  5. Step 5: Solve for x
    x = 164,149,911,214,537.53/8,378,959.50
  6. Step 6: Final answer
    x = 19,590,727.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.