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Finding the Third Proportional to 7,724,786 and 11,686,563

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Solution

The third proportional to 7,724,786 and 11,686,563 is: 17,680,199.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724,786 : 11,686,563 = 11,686,563 : x
  2. Step 2: Convert to fraction form
    7,724,786/11,686,563 = 11,686,563/x
  3. Step 3: Cross multiply
    7,724,786x = 11,686,563 × 11,686,563
  4. Step 4: Simplify right side
    7,724,786x = 136,575,754,752,969
  5. Step 5: Solve for x
    x = 136,575,754,752,969/7,724,786
  6. Step 6: Final answer
    x = 17,680,199.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.