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Finding the Third Proportional to 408,905 and 880,018

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Solution

The third proportional to 408,905 and 880,018 is: 1,893,915.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,905 : 880,018 = 880,018 : x
  2. Step 2: Convert to fraction form
    408,905/880,018 = 880,018/x
  3. Step 3: Cross multiply
    408,905x = 880,018 × 880,018
  4. Step 4: Simplify right side
    408,905x = 774,431,680,324
  5. Step 5: Solve for x
    x = 774,431,680,324/408,905
  6. Step 6: Final answer
    x = 1,893,915.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.