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Finding the Third Proportional to 106,782.75 and 154,666.13

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Solution

The third proportional to 106,782.75 and 154,666.13 is: 224,021.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,782.75 : 154,666.13 = 154,666.13 : x
  2. Step 2: Convert to fraction form
    106,782.75/154,666.13 = 154,666.13/x
  3. Step 3: Cross multiply
    106,782.75x = 154,666.13 × 154,666.13
  4. Step 4: Simplify right side
    106,782.75x = 23,921,610,222.52
  5. Step 5: Solve for x
    x = 23,921,610,222.52/106,782.75
  6. Step 6: Final answer
    x = 224,021.30

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.