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Finding the Third Proportional to 609,464 and 913,620

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Solution

The third proportional to 609,464 and 913,620 is: 1,369,566.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,464 : 913,620 = 913,620 : x
  2. Step 2: Convert to fraction form
    609,464/913,620 = 913,620/x
  3. Step 3: Cross multiply
    609,464x = 913,620 × 913,620
  4. Step 4: Simplify right side
    609,464x = 834,701,504,400
  5. Step 5: Solve for x
    x = 834,701,504,400/609,464
  6. Step 6: Final answer
    x = 1,369,566.54

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Why These Related Problems?

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