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Finding the Third Proportional to 9,502,780 and 20,801,456

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Solution

The third proportional to 9,502,780 and 20,801,456 is: 45,534,103.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502,780 : 20,801,456 = 20,801,456 : x
  2. Step 2: Convert to fraction form
    9,502,780/20,801,456 = 20,801,456/x
  3. Step 3: Cross multiply
    9,502,780x = 20,801,456 × 20,801,456
  4. Step 4: Simplify right side
    9,502,780x = 432,700,571,719,936
  5. Step 5: Solve for x
    x = 432,700,571,719,936/9,502,780
  6. Step 6: Final answer
    x = 45,534,103.89

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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.