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Finding the Third Proportional to 76,428 and 167,984

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Solution

The third proportional to 76,428 and 167,984 is: 369,218.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,428 : 167,984 = 167,984 : x
  2. Step 2: Convert to fraction form
    76,428/167,984 = 167,984/x
  3. Step 3: Cross multiply
    76,428x = 167,984 × 167,984
  4. Step 4: Simplify right side
    76,428x = 28,218,624,256
  5. Step 5: Solve for x
    x = 28,218,624,256/76,428
  6. Step 6: Final answer
    x = 369,218.40

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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.