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Finding the Third Proportional to 416,942 and 813,148

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Solution

The third proportional to 416,942 and 813,148 is: 1,585,855.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,942 : 813,148 = 813,148 : x
  2. Step 2: Convert to fraction form
    416,942/813,148 = 813,148/x
  3. Step 3: Cross multiply
    416,942x = 813,148 × 813,148
  4. Step 4: Simplify right side
    416,942x = 661,209,669,904
  5. Step 5: Solve for x
    x = 661,209,669,904/416,942
  6. Step 6: Final answer
    x = 1,585,855.27

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.