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Finding the Third Proportional to 513,938 and 818,427

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Solution

The third proportional to 513,938 and 818,427 is: 1,303,314.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,938 : 818,427 = 818,427 : x
  2. Step 2: Convert to fraction form
    513,938/818,427 = 818,427/x
  3. Step 3: Cross multiply
    513,938x = 818,427 × 818,427
  4. Step 4: Simplify right side
    513,938x = 669,822,754,329
  5. Step 5: Solve for x
    x = 669,822,754,329/513,938
  6. Step 6: Final answer
    x = 1,303,314.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.