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Finding the Third Proportional to 609,720 and 905,736

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Solution

The third proportional to 609,720 and 905,736 is: 1,345,466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,720 : 905,736 = 905,736 : x
  2. Step 2: Convert to fraction form
    609,720/905,736 = 905,736/x
  3. Step 3: Cross multiply
    609,720x = 905,736 × 905,736
  4. Step 4: Simplify right side
    609,720x = 820,357,701,696
  5. Step 5: Solve for x
    x = 820,357,701,696/609,720
  6. Step 6: Final answer
    x = 1,345,466.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.