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Finding the Third Proportional to 605,655 and 880,290

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Solution

The third proportional to 605,655 and 880,290 is: 1,279,458.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,655 : 880,290 = 880,290 : x
  2. Step 2: Convert to fraction form
    605,655/880,290 = 880,290/x
  3. Step 3: Cross multiply
    605,655x = 880,290 × 880,290
  4. Step 4: Simplify right side
    605,655x = 774,910,484,100
  5. Step 5: Solve for x
    x = 774,910,484,100/605,655
  6. Step 6: Final answer
    x = 1,279,458.58

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.