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Finding the Third Proportional to 12,159,057 and 18,974,715

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Solution

The third proportional to 12,159,057 and 18,974,715 is: 29,610,833.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159,057 : 18,974,715 = 18,974,715 : x
  2. Step 2: Convert to fraction form
    12,159,057/18,974,715 = 18,974,715/x
  3. Step 3: Cross multiply
    12,159,057x = 18,974,715 × 18,974,715
  4. Step 4: Simplify right side
    12,159,057x = 360,039,809,331,225
  5. Step 5: Solve for x
    x = 360,039,809,331,225/12,159,057
  6. Step 6: Final answer
    x = 29,610,833.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.