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Finding the Third Proportional to 76,440 and 168,435

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Solution

The third proportional to 76,440 and 168,435 is: 371,145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,440 : 168,435 = 168,435 : x
  2. Step 2: Convert to fraction form
    76,440/168,435 = 168,435/x
  3. Step 3: Cross multiply
    76,440x = 168,435 × 168,435
  4. Step 4: Simplify right side
    76,440x = 28,370,349,225
  5. Step 5: Solve for x
    x = 28,370,349,225/76,440
  6. Step 6: Final answer
    x = 371,145.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.