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Finding the Third Proportional to 266,382 and 407,500

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Solution

The third proportional to 266,382 and 407,500 is: 623,376.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,382 : 407,500 = 407,500 : x
  2. Step 2: Convert to fraction form
    266,382/407,500 = 407,500/x
  3. Step 3: Cross multiply
    266,382x = 407,500 × 407,500
  4. Step 4: Simplify right side
    266,382x = 166,056,250,000
  5. Step 5: Solve for x
    x = 166,056,250,000/266,382
  6. Step 6: Final answer
    x = 623,376.39

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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.