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Finding the Third Proportional to 784,121 and 1,220,906

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Solution

The third proportional to 784,121 and 1,220,906 is: 1,900,996.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,121 : 1,220,906 = 1,220,906 : x
  2. Step 2: Convert to fraction form
    784,121/1,220,906 = 1,220,906/x
  3. Step 3: Cross multiply
    784,121x = 1,220,906 × 1,220,906
  4. Step 4: Simplify right side
    784,121x = 1,490,611,460,836
  5. Step 5: Solve for x
    x = 1,490,611,460,836/784,121
  6. Step 6: Final answer
    x = 1,900,996.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.