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Finding the Third Proportional to 3,215,421 and 7,078,538.25

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Solution

The third proportional to 3,215,421 and 7,078,538.25 is: 15,582,937.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215,421 : 7,078,538.25 = 7,078,538.25 : x
  2. Step 2: Convert to fraction form
    3,215,421/7,078,538.25 = 7,078,538.25/x
  3. Step 3: Cross multiply
    3,215,421x = 7,078,538.25 × 7,078,538.25
  4. Step 4: Simplify right side
    3,215,421x = 50,105,703,756,713.06
  5. Step 5: Solve for x
    x = 50,105,703,756,713.06/3,215,421
  6. Step 6: Final answer
    x = 15,582,937.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.