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Finding the Third Proportional to 10,573.88 and 22,555.13

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Solution

The third proportional to 10,573.88 and 22,555.13 is: 48,112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.88 : 22,555.13 = 22,555.13 : x
  2. Step 2: Convert to fraction form
    10,573.88/22,555.13 = 22,555.13/x
  3. Step 3: Cross multiply
    10,573.88x = 22,555.13 × 22,555.13
  4. Step 4: Simplify right side
    10,573.88x = 508,733,663.77
  5. Step 5: Solve for x
    x = 508,733,663.77/10,573.88
  6. Step 6: Final answer
    x = 48,112.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.