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Finding the Third Proportional to 11,553,844.50 and 17,880,768

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Solution

The third proportional to 11,553,844.50 and 17,880,768 is: 27,672,335.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,553,844.50 : 17,880,768 = 17,880,768 : x
  2. Step 2: Convert to fraction form
    11,553,844.50/17,880,768 = 17,880,768/x
  3. Step 3: Cross multiply
    11,553,844.50x = 17,880,768 × 17,880,768
  4. Step 4: Simplify right side
    11,553,844.50x = 319,721,864,269,824
  5. Step 5: Solve for x
    x = 319,721,864,269,824/11,553,844.50
  6. Step 6: Final answer
    x = 27,672,335.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.