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Finding the Third Proportional to 539,562.75 and 831,491.25

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Solution

The third proportional to 539,562.75 and 831,491.25 is: 1,281,366.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,562.75 : 831,491.25 = 831,491.25 : x
  2. Step 2: Convert to fraction form
    539,562.75/831,491.25 = 831,491.25/x
  3. Step 3: Cross multiply
    539,562.75x = 831,491.25 × 831,491.25
  4. Step 4: Simplify right side
    539,562.75x = 691,377,698,826.56
  5. Step 5: Solve for x
    x = 691,377,698,826.56/539,562.75
  6. Step 6: Final answer
    x = 1,281,366.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.