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Finding the Third Proportional to 128,650 and 275,756

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Solution

The third proportional to 128,650 and 275,756 is: 591,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,650 : 275,756 = 275,756 : x
  2. Step 2: Convert to fraction form
    128,650/275,756 = 275,756/x
  3. Step 3: Cross multiply
    128,650x = 275,756 × 275,756
  4. Step 4: Simplify right side
    128,650x = 76,041,371,536
  5. Step 5: Solve for x
    x = 76,041,371,536/128,650
  6. Step 6: Final answer
    x = 591,071.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.