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Finding the Third Proportional to 12,940,635 and 20,298,280.50

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Solution

The third proportional to 12,940,635 and 20,298,280.50 is: 31,839,256.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,940,635 : 20,298,280.50 = 20,298,280.50 : x
  2. Step 2: Convert to fraction form
    12,940,635/20,298,280.50 = 20,298,280.50/x
  3. Step 3: Cross multiply
    12,940,635x = 20,298,280.50 × 20,298,280.50
  4. Step 4: Simplify right side
    12,940,635x = 412,020,191,256,680.25
  5. Step 5: Solve for x
    x = 412,020,191,256,680.25/12,940,635
  6. Step 6: Final answer
    x = 31,839,256.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.