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Finding the Third Proportional to 435,524 and 684,390

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Solution

The third proportional to 435,524 and 684,390 is: 1,075,462.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,524 : 684,390 = 684,390 : x
  2. Step 2: Convert to fraction form
    435,524/684,390 = 684,390/x
  3. Step 3: Cross multiply
    435,524x = 684,390 × 684,390
  4. Step 4: Simplify right side
    435,524x = 468,389,672,100
  5. Step 5: Solve for x
    x = 468,389,672,100/435,524
  6. Step 6: Final answer
    x = 1,075,462.37

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.