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Finding the Third Proportional to 3,986,840.25 and 5,979,009.38

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Solution

The third proportional to 3,986,840.25 and 5,979,009.38 is: 8,966,637.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986,840.25 : 5,979,009.38 = 5,979,009.38 : x
  2. Step 2: Convert to fraction form
    3,986,840.25/5,979,009.38 = 5,979,009.38/x
  3. Step 3: Cross multiply
    3,986,840.25x = 5,979,009.38 × 5,979,009.38
  4. Step 4: Simplify right side
    3,986,840.25x = 35,748,553,106,337.89
  5. Step 5: Solve for x
    x = 35,748,553,106,337.89/3,986,840.25
  6. Step 6: Final answer
    x = 8,966,637.96

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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.