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Finding the Third Proportional to 266,378.63 and 407,495.81

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Solution

The third proportional to 266,378.63 and 407,495.81 is: 623,371.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,378.63 : 407,495.81 = 407,495.81 : x
  2. Step 2: Convert to fraction form
    266,378.63/407,495.81 = 407,495.81/x
  3. Step 3: Cross multiply
    266,378.63x = 407,495.81 × 407,495.81
  4. Step 4: Simplify right side
    266,378.63x = 166,052,837,205.04
  5. Step 5: Solve for x
    x = 166,052,837,205.04/266,378.63
  6. Step 6: Final answer
    x = 623,371.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.