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Finding the Third Proportional to 410,634 and 614,280

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Solution

The third proportional to 410,634 and 614,280 is: 918,920.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,634 : 614,280 = 614,280 : x
  2. Step 2: Convert to fraction form
    410,634/614,280 = 614,280/x
  3. Step 3: Cross multiply
    410,634x = 614,280 × 614,280
  4. Step 4: Simplify right side
    410,634x = 377,339,918,400
  5. Step 5: Solve for x
    x = 377,339,918,400/410,634
  6. Step 6: Final answer
    x = 918,920.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.