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Finding the Third Proportional to 407,280 and 894,690

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Solution

The third proportional to 407,280 and 894,690 is: 1,965,405.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,280 : 894,690 = 894,690 : x
  2. Step 2: Convert to fraction form
    407,280/894,690 = 894,690/x
  3. Step 3: Cross multiply
    407,280x = 894,690 × 894,690
  4. Step 4: Simplify right side
    407,280x = 800,470,196,100
  5. Step 5: Solve for x
    x = 800,470,196,100/407,280
  6. Step 6: Final answer
    x = 1,965,405.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.