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Finding the Third Proportional to 14,975,680 and 21,400,634

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Solution

The third proportional to 14,975,680 and 21,400,634 is: 30,582,059.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,975,680 : 21,400,634 = 21,400,634 : x
  2. Step 2: Convert to fraction form
    14,975,680/21,400,634 = 21,400,634/x
  3. Step 3: Cross multiply
    14,975,680x = 21,400,634 × 21,400,634
  4. Step 4: Simplify right side
    14,975,680x = 457,987,135,601,956
  5. Step 5: Solve for x
    x = 457,987,135,601,956/14,975,680
  6. Step 6: Final answer
    x = 30,582,059.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.