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Finding the Third Proportional to 12,997,774.50 and 18,170,754

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Solution

The third proportional to 12,997,774.50 and 18,170,754 is: 25,402,525.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997,774.50 : 18,170,754 = 18,170,754 : x
  2. Step 2: Convert to fraction form
    12,997,774.50/18,170,754 = 18,170,754/x
  3. Step 3: Cross multiply
    12,997,774.50x = 18,170,754 × 18,170,754
  4. Step 4: Simplify right side
    12,997,774.50x = 330,176,300,928,516
  5. Step 5: Solve for x
    x = 330,176,300,928,516/12,997,774.50
  6. Step 6: Final answer
    x = 25,402,525.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.