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Finding the Third Proportional to 266,467 and 409,585

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Solution

The third proportional to 266,467 and 409,585 is: 629,570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,467 : 409,585 = 409,585 : x
  2. Step 2: Convert to fraction form
    266,467/409,585 = 409,585/x
  3. Step 3: Cross multiply
    266,467x = 409,585 × 409,585
  4. Step 4: Simplify right side
    266,467x = 167,759,872,225
  5. Step 5: Solve for x
    x = 167,759,872,225/266,467
  6. Step 6: Final answer
    x = 629,570.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.