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Finding the Third Proportional to 4,659,553 and 9,966,786

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Solution

The third proportional to 4,659,553 and 9,966,786 is: 21,318,959.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659,553 : 9,966,786 = 9,966,786 : x
  2. Step 2: Convert to fraction form
    4,659,553/9,966,786 = 9,966,786/x
  3. Step 3: Cross multiply
    4,659,553x = 9,966,786 × 9,966,786
  4. Step 4: Simplify right side
    4,659,553x = 99,336,823,169,796
  5. Step 5: Solve for x
    x = 99,336,823,169,796/4,659,553
  6. Step 6: Final answer
    x = 21,318,959.82

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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.