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Finding the Third Proportional to 520,668 and 831,435.75

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Solution

The third proportional to 520,668 and 831,435.75 is: 1,327,689.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,668 : 831,435.75 = 831,435.75 : x
  2. Step 2: Convert to fraction form
    520,668/831,435.75 = 831,435.75/x
  3. Step 3: Cross multiply
    520,668x = 831,435.75 × 831,435.75
  4. Step 4: Simplify right side
    520,668x = 691,285,406,378.06
  5. Step 5: Solve for x
    x = 691,285,406,378.06/520,668
  6. Step 6: Final answer
    x = 1,327,689.44

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.