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Finding the Third Proportional to 4,659,366 and 9,966,419

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Solution

The third proportional to 4,659,366 and 9,966,419 is: 21,318,245.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659,366 : 9,966,419 = 9,966,419 : x
  2. Step 2: Convert to fraction form
    4,659,366/9,966,419 = 9,966,419/x
  3. Step 3: Cross multiply
    4,659,366x = 9,966,419 × 9,966,419
  4. Step 4: Simplify right side
    4,659,366x = 99,329,507,683,561
  5. Step 5: Solve for x
    x = 99,329,507,683,561/4,659,366
  6. Step 6: Final answer
    x = 21,318,245.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.