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Finding the Third Proportional to 10,509.75 and 18,133.88

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Solution

The third proportional to 10,509.75 and 18,133.88 is: 31,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.75 : 18,133.88 = 18,133.88 : x
  2. Step 2: Convert to fraction form
    10,509.75/18,133.88 = 18,133.88/x
  3. Step 3: Cross multiply
    10,509.75x = 18,133.88 × 18,133.88
  4. Step 4: Simplify right side
    10,509.75x = 328,837,422.52
  5. Step 5: Solve for x
    x = 328,837,422.52/10,509.75
  6. Step 6: Final answer
    x = 31,288.80

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.