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Finding the Third Proportional to 13,959,414 and 20,855,772

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Solution

The third proportional to 13,959,414 and 20,855,772 is: 31,159,132.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,959,414 : 20,855,772 = 20,855,772 : x
  2. Step 2: Convert to fraction form
    13,959,414/20,855,772 = 20,855,772/x
  3. Step 3: Cross multiply
    13,959,414x = 20,855,772 × 20,855,772
  4. Step 4: Simplify right side
    13,959,414x = 434,963,225,715,984
  5. Step 5: Solve for x
    x = 434,963,225,715,984/13,959,414
  6. Step 6: Final answer
    x = 31,159,132.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.