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Finding the Third Proportional to 4,215,699 and 9,070,786.69

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Solution

The third proportional to 4,215,699 and 9,070,786.69 is: 19,517,325.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215,699 : 9,070,786.69 = 9,070,786.69 : x
  2. Step 2: Convert to fraction form
    4,215,699/9,070,786.69 = 9,070,786.69/x
  3. Step 3: Cross multiply
    4,215,699x = 9,070,786.69 × 9,070,786.69
  4. Step 4: Simplify right side
    4,215,699x = 82,279,171,130,127.22
  5. Step 5: Solve for x
    x = 82,279,171,130,127.22/4,215,699
  6. Step 6: Final answer
    x = 19,517,325.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.