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Finding the Third Proportional to 242,749.41 and 380,803.78

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Solution

The third proportional to 242,749.41 and 380,803.78 is: 597,371.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,749.41 : 380,803.78 = 380,803.78 : x
  2. Step 2: Convert to fraction form
    242,749.41/380,803.78 = 380,803.78/x
  3. Step 3: Cross multiply
    242,749.41x = 380,803.78 × 380,803.78
  4. Step 4: Simplify right side
    242,749.41x = 145,011,519,814.30
  5. Step 5: Solve for x
    x = 145,011,519,814.30/242,749.41
  6. Step 6: Final answer
    x = 597,371.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.