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Finding the Third Proportional to 5,205,337.88 and 7,777,388.81

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Solution

The third proportional to 5,205,337.88 and 7,777,388.81 is: 11,620,336.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205,337.88 : 7,777,388.81 = 7,777,388.81 : x
  2. Step 2: Convert to fraction form
    5,205,337.88/7,777,388.81 = 7,777,388.81/x
  3. Step 3: Cross multiply
    5,205,337.88x = 7,777,388.81 × 7,777,388.81
  4. Step 4: Simplify right side
    5,205,337.88x = 60,487,776,740,800.16
  5. Step 5: Solve for x
    x = 60,487,776,740,800.16/5,205,337.88
  6. Step 6: Final answer
    x = 11,620,336.32

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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.