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Finding the Third Proportional to 12,629,974.50 and 18,465,465

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Solution

The third proportional to 12,629,974.50 and 18,465,465 is: 26,997,156.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,629,974.50 : 18,465,465 = 18,465,465 : x
  2. Step 2: Convert to fraction form
    12,629,974.50/18,465,465 = 18,465,465/x
  3. Step 3: Cross multiply
    12,629,974.50x = 18,465,465 × 18,465,465
  4. Step 4: Simplify right side
    12,629,974.50x = 340,973,397,666,225
  5. Step 5: Solve for x
    x = 340,973,397,666,225/12,629,974.50
  6. Step 6: Final answer
    x = 26,997,156.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.