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Finding the Third Proportional to 450,591 and 697,457

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Solution

The third proportional to 450,591 and 697,457 is: 1,079,573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,591 : 697,457 = 697,457 : x
  2. Step 2: Convert to fraction form
    450,591/697,457 = 697,457/x
  3. Step 3: Cross multiply
    450,591x = 697,457 × 697,457
  4. Step 4: Simplify right side
    450,591x = 486,446,266,849
  5. Step 5: Solve for x
    x = 486,446,266,849/450,591
  6. Step 6: Final answer
    x = 1,079,573.86

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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.