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Finding the Third Proportional to 398,979 and 610,399.13

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Solution

The third proportional to 398,979 and 610,399.13 is: 933,851.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,979 : 610,399.13 = 610,399.13 : x
  2. Step 2: Convert to fraction form
    398,979/610,399.13 = 610,399.13/x
  3. Step 3: Cross multiply
    398,979x = 610,399.13 × 610,399.13
  4. Step 4: Simplify right side
    398,979x = 372,587,091,800.77
  5. Step 5: Solve for x
    x = 372,587,091,800.77/398,979
  6. Step 6: Final answer
    x = 933,851.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.