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Finding the Third Proportional to 641,637 and 897,021

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Solution

The third proportional to 641,637 and 897,021 is: 1,254,052.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,637 : 897,021 = 897,021 : x
  2. Step 2: Convert to fraction form
    641,637/897,021 = 897,021/x
  3. Step 3: Cross multiply
    641,637x = 897,021 × 897,021
  4. Step 4: Simplify right side
    641,637x = 804,646,674,441
  5. Step 5: Solve for x
    x = 804,646,674,441/641,637
  6. Step 6: Final answer
    x = 1,254,052.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.