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Finding the Third Proportional to 400,658 and 816,160

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Solution

The third proportional to 400,658 and 816,160 is: 1,662,557.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,658 : 816,160 = 816,160 : x
  2. Step 2: Convert to fraction form
    400,658/816,160 = 816,160/x
  3. Step 3: Cross multiply
    400,658x = 816,160 × 816,160
  4. Step 4: Simplify right side
    400,658x = 666,117,145,600
  5. Step 5: Solve for x
    x = 666,117,145,600/400,658
  6. Step 6: Final answer
    x = 1,662,557.96

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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.