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Finding the Third Proportional to 431,552 and 880,240

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Solution

The third proportional to 431,552 and 880,240 is: 1,795,432.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,552 : 880,240 = 880,240 : x
  2. Step 2: Convert to fraction form
    431,552/880,240 = 880,240/x
  3. Step 3: Cross multiply
    431,552x = 880,240 × 880,240
  4. Step 4: Simplify right side
    431,552x = 774,822,457,600
  5. Step 5: Solve for x
    x = 774,822,457,600/431,552
  6. Step 6: Final answer
    x = 1,795,432.43

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.