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Finding the Third Proportional to 12,172,609.13 and 18,220,762.69

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Solution

The third proportional to 12,172,609.13 and 18,220,762.69 is: 27,274,037.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,172,609.13 : 18,220,762.69 = 18,220,762.69 : x
  2. Step 2: Convert to fraction form
    12,172,609.13/18,220,762.69 = 18,220,762.69/x
  3. Step 3: Cross multiply
    12,172,609.13x = 18,220,762.69 × 18,220,762.69
  4. Step 4: Simplify right side
    12,172,609.13x = 331,996,192,914,192.25
  5. Step 5: Solve for x
    x = 331,996,192,914,192.25/12,172,609.13
  6. Step 6: Final answer
    x = 27,274,037.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.