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Finding the Third Proportional to 266,359 and 397,381

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Solution

The third proportional to 266,359 and 397,381 is: 592,852.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,359 : 397,381 = 397,381 : x
  2. Step 2: Convert to fraction form
    266,359/397,381 = 397,381/x
  3. Step 3: Cross multiply
    266,359x = 397,381 × 397,381
  4. Step 4: Simplify right side
    266,359x = 157,911,659,161
  5. Step 5: Solve for x
    x = 157,911,659,161/266,359
  6. Step 6: Final answer
    x = 592,852.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.