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Finding the Third Proportional to 10,764.14 and 22,553.44

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Solution

The third proportional to 10,764.14 and 22,553.44 is: 47,254.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,764.14 : 22,553.44 = 22,553.44 : x
  2. Step 2: Convert to fraction form
    10,764.14/22,553.44 = 22,553.44/x
  3. Step 3: Cross multiply
    10,764.14x = 22,553.44 × 22,553.44
  4. Step 4: Simplify right side
    10,764.14x = 508,657,543.07
  5. Step 5: Solve for x
    x = 508,657,543.07/10,764.14
  6. Step 6: Final answer
    x = 47,254.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.