Home / 10,200,884.34-21,553,150.78

Finding the Third Proportional to 10,200,884.34 and 21,553,150.78

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Solution

The third proportional to 10,200,884.34 and 21,553,150.78 is: 45,539,023.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200,884.34 : 21,553,150.78 = 21,553,150.78 : x
  2. Step 2: Convert to fraction form
    10,200,884.34/21,553,150.78 = 21,553,150.78/x
  3. Step 3: Cross multiply
    10,200,884.34x = 21,553,150.78 × 21,553,150.78
  4. Step 4: Simplify right side
    10,200,884.34x = 464,538,308,599,297.50
  5. Step 5: Solve for x
    x = 464,538,308,599,297.50/10,200,884.34
  6. Step 6: Final answer
    x = 45,539,023.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.