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Finding the Third Proportional to 166,380 and 249,489

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Solution

The third proportional to 166,380 and 249,489 is: 374,112.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,380 : 249,489 = 249,489 : x
  2. Step 2: Convert to fraction form
    166,380/249,489 = 249,489/x
  3. Step 3: Cross multiply
    166,380x = 249,489 × 249,489
  4. Step 4: Simplify right side
    166,380x = 62,244,761,121
  5. Step 5: Solve for x
    x = 62,244,761,121/166,380
  6. Step 6: Final answer
    x = 374,112.04

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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.