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Finding the Third Proportional to 111,000 and 166,428

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Solution

The third proportional to 111,000 and 166,428 is: 249,534.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,000 : 166,428 = 166,428 : x
  2. Step 2: Convert to fraction form
    111,000/166,428 = 166,428/x
  3. Step 3: Cross multiply
    111,000x = 166,428 × 166,428
  4. Step 4: Simplify right side
    111,000x = 27,698,279,184
  5. Step 5: Solve for x
    x = 27,698,279,184/111,000
  6. Step 6: Final answer
    x = 249,534.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.