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Finding the Third Proportional to 4,942,777.50 and 10,763,903.25

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Solution

The third proportional to 4,942,777.50 and 10,763,903.25 is: 23,440,588.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942,777.50 : 10,763,903.25 = 10,763,903.25 : x
  2. Step 2: Convert to fraction form
    4,942,777.50/10,763,903.25 = 10,763,903.25/x
  3. Step 3: Cross multiply
    4,942,777.50x = 10,763,903.25 × 10,763,903.25
  4. Step 4: Simplify right side
    4,942,777.50x = 115,861,613,175,360.56
  5. Step 5: Solve for x
    x = 115,861,613,175,360.56/4,942,777.50
  6. Step 6: Final answer
    x = 23,440,588.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.