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Finding the Third Proportional to 657,622 and 990,777

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Solution

The third proportional to 657,622 and 990,777 is: 1,492,710.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,622 : 990,777 = 990,777 : x
  2. Step 2: Convert to fraction form
    657,622/990,777 = 990,777/x
  3. Step 3: Cross multiply
    657,622x = 990,777 × 990,777
  4. Step 4: Simplify right side
    657,622x = 981,639,063,729
  5. Step 5: Solve for x
    x = 981,639,063,729/657,622
  6. Step 6: Final answer
    x = 1,492,710.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.