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Finding the Third Proportional to 550,900 and 851,261

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Solution

The third proportional to 550,900 and 851,261 is: 1,315,384.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,900 : 851,261 = 851,261 : x
  2. Step 2: Convert to fraction form
    550,900/851,261 = 851,261/x
  3. Step 3: Cross multiply
    550,900x = 851,261 × 851,261
  4. Step 4: Simplify right side
    550,900x = 724,645,290,121
  5. Step 5: Solve for x
    x = 724,645,290,121/550,900
  6. Step 6: Final answer
    x = 1,315,384.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.