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Finding the Third Proportional to 445,871 and 690,690

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Solution

The third proportional to 445,871 and 690,690 is: 1,069,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,871 : 690,690 = 690,690 : x
  2. Step 2: Convert to fraction form
    445,871/690,690 = 690,690/x
  3. Step 3: Cross multiply
    445,871x = 690,690 × 690,690
  4. Step 4: Simplify right side
    445,871x = 477,052,676,100
  5. Step 5: Solve for x
    x = 477,052,676,100/445,871
  6. Step 6: Final answer
    x = 1,069,934.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.