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Finding the Third Proportional to 2,176,985 and 4,642,694

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Solution

The third proportional to 2,176,985 and 4,642,694 is: 9,901,128.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176,985 : 4,642,694 = 4,642,694 : x
  2. Step 2: Convert to fraction form
    2,176,985/4,642,694 = 4,642,694/x
  3. Step 3: Cross multiply
    2,176,985x = 4,642,694 × 4,642,694
  4. Step 4: Simplify right side
    2,176,985x = 21,554,607,577,636
  5. Step 5: Solve for x
    x = 21,554,607,577,636/2,176,985
  6. Step 6: Final answer
    x = 9,901,128.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.