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Finding the Third Proportional to 4,207,270 and 9,215,408

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Solution

The third proportional to 4,207,270 and 9,215,408 is: 20,184,999.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207,270 : 9,215,408 = 9,215,408 : x
  2. Step 2: Convert to fraction form
    4,207,270/9,215,408 = 9,215,408/x
  3. Step 3: Cross multiply
    4,207,270x = 9,215,408 × 9,215,408
  4. Step 4: Simplify right side
    4,207,270x = 84,923,744,606,464
  5. Step 5: Solve for x
    x = 84,923,744,606,464/4,207,270
  6. Step 6: Final answer
    x = 20,184,999.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.