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Finding the Third Proportional to 780,147 and 1,237,869

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Solution

The third proportional to 780,147 and 1,237,869 is: 1,964,142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,147 : 1,237,869 = 1,237,869 : x
  2. Step 2: Convert to fraction form
    780,147/1,237,869 = 1,237,869/x
  3. Step 3: Cross multiply
    780,147x = 1,237,869 × 1,237,869
  4. Step 4: Simplify right side
    780,147x = 1,532,319,661,161
  5. Step 5: Solve for x
    x = 1,532,319,661,161/780,147
  6. Step 6: Final answer
    x = 1,964,142.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.