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Finding the Third Proportional to 12,983,190 and 20,209,545

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Solution

The third proportional to 12,983,190 and 20,209,545 is: 31,458,039.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,983,190 : 20,209,545 = 20,209,545 : x
  2. Step 2: Convert to fraction form
    12,983,190/20,209,545 = 20,209,545/x
  3. Step 3: Cross multiply
    12,983,190x = 20,209,545 × 20,209,545
  4. Step 4: Simplify right side
    12,983,190x = 408,425,709,107,025
  5. Step 5: Solve for x
    x = 408,425,709,107,025/12,983,190
  6. Step 6: Final answer
    x = 31,458,039.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.