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Finding the Third Proportional to 11,666,628 and 18,259,830

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Solution

The third proportional to 11,666,628 and 18,259,830 is: 28,579,071.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666,628 : 18,259,830 = 18,259,830 : x
  2. Step 2: Convert to fraction form
    11,666,628/18,259,830 = 18,259,830/x
  3. Step 3: Cross multiply
    11,666,628x = 18,259,830 × 18,259,830
  4. Step 4: Simplify right side
    11,666,628x = 333,421,391,628,900
  5. Step 5: Solve for x
    x = 333,421,391,628,900/11,666,628
  6. Step 6: Final answer
    x = 28,579,071.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.