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Finding the Third Proportional to 393,739.50 and 610,839

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Solution

The third proportional to 393,739.50 and 610,839 is: 947,642.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,739.50 : 610,839 = 610,839 : x
  2. Step 2: Convert to fraction form
    393,739.50/610,839 = 610,839/x
  3. Step 3: Cross multiply
    393,739.50x = 610,839 × 610,839
  4. Step 4: Simplify right side
    393,739.50x = 373,124,283,921
  5. Step 5: Solve for x
    x = 373,124,283,921/393,739.50
  6. Step 6: Final answer
    x = 947,642.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.