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Finding the Third Proportional to 12,440,469 and 19,473,316.50

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Solution

The third proportional to 12,440,469 and 19,473,316.50 is: 30,481,974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,440,469 : 19,473,316.50 = 19,473,316.50 : x
  2. Step 2: Convert to fraction form
    12,440,469/19,473,316.50 = 19,473,316.50/x
  3. Step 3: Cross multiply
    12,440,469x = 19,473,316.50 × 19,473,316.50
  4. Step 4: Simplify right side
    12,440,469x = 379,210,055,509,172.25
  5. Step 5: Solve for x
    x = 379,210,055,509,172.25/12,440,469
  6. Step 6: Final answer
    x = 30,481,974.23

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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.