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Finding the Third Proportional to 11,553,840 and 17,880,760.13

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Solution

The third proportional to 11,553,840 and 17,880,760.13 is: 27,672,322.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,553,840 : 17,880,760.13 = 17,880,760.13 : x
  2. Step 2: Convert to fraction form
    11,553,840/17,880,760.13 = 17,880,760.13/x
  3. Step 3: Cross multiply
    11,553,840x = 17,880,760.13 × 17,880,760.13
  4. Step 4: Simplify right side
    11,553,840x = 319,721,582,647,790
  5. Step 5: Solve for x
    x = 319,721,582,647,790/11,553,840
  6. Step 6: Final answer
    x = 27,672,322.16

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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.