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Finding the Third Proportional to 12,744,176 and 20,189,656

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Solution

The third proportional to 12,744,176 and 20,189,656 is: 31,984,979.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744,176 : 20,189,656 = 20,189,656 : x
  2. Step 2: Convert to fraction form
    12,744,176/20,189,656 = 20,189,656/x
  3. Step 3: Cross multiply
    12,744,176x = 20,189,656 × 20,189,656
  4. Step 4: Simplify right side
    12,744,176x = 407,622,209,398,336
  5. Step 5: Solve for x
    x = 407,622,209,398,336/12,744,176
  6. Step 6: Final answer
    x = 31,984,979.60

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.