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Finding the Third Proportional to 641,639 and 897,024

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Solution

The third proportional to 641,639 and 897,024 is: 1,254,057.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,639 : 897,024 = 897,024 : x
  2. Step 2: Convert to fraction form
    641,639/897,024 = 897,024/x
  3. Step 3: Cross multiply
    641,639x = 897,024 × 897,024
  4. Step 4: Simplify right side
    641,639x = 804,652,056,576
  5. Step 5: Solve for x
    x = 804,652,056,576/641,639
  6. Step 6: Final answer
    x = 1,254,057.28

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Why These Related Problems?

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