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Finding the Third Proportional to 677,842 and 990,781

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Solution

The third proportional to 677,842 and 990,781 is: 1,448,194.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,842 : 990,781 = 990,781 : x
  2. Step 2: Convert to fraction form
    677,842/990,781 = 990,781/x
  3. Step 3: Cross multiply
    677,842x = 990,781 × 990,781
  4. Step 4: Simplify right side
    677,842x = 981,646,989,961
  5. Step 5: Solve for x
    x = 981,646,989,961/677,842
  6. Step 6: Final answer
    x = 1,448,194.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.