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Finding the Third Proportional to 3,987,588.66 and 6,186,421.78

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Solution

The third proportional to 3,987,588.66 and 6,186,421.78 is: 9,597,733.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987,588.66 : 6,186,421.78 = 6,186,421.78 : x
  2. Step 2: Convert to fraction form
    3,987,588.66/6,186,421.78 = 6,186,421.78/x
  3. Step 3: Cross multiply
    3,987,588.66x = 6,186,421.78 × 6,186,421.78
  4. Step 4: Simplify right side
    3,987,588.66x = 38,271,814,455,524.42
  5. Step 5: Solve for x
    x = 38,271,814,455,524.42/3,987,588.66
  6. Step 6: Final answer
    x = 9,597,733.81

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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.