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Finding the Third Proportional to 100,728 and 156,680

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Solution

The third proportional to 100,728 and 156,680 is: 243,712.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,728 : 156,680 = 156,680 : x
  2. Step 2: Convert to fraction form
    100,728/156,680 = 156,680/x
  3. Step 3: Cross multiply
    100,728x = 156,680 × 156,680
  4. Step 4: Simplify right side
    100,728x = 24,548,622,400
  5. Step 5: Solve for x
    x = 24,548,622,400/100,728
  6. Step 6: Final answer
    x = 243,712.00

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.