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Finding the Third Proportional to 128,252 and 280,102

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Solution

The third proportional to 128,252 and 280,102 is: 611,741.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,252 : 280,102 = 280,102 : x
  2. Step 2: Convert to fraction form
    128,252/280,102 = 280,102/x
  3. Step 3: Cross multiply
    128,252x = 280,102 × 280,102
  4. Step 4: Simplify right side
    128,252x = 78,457,130,404
  5. Step 5: Solve for x
    x = 78,457,130,404/128,252
  6. Step 6: Final answer
    x = 611,741.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.