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Finding the Third Proportional to 421,383 and 921,591

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Solution

The third proportional to 421,383 and 921,591 is: 2,015,577.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,383 : 921,591 = 921,591 : x
  2. Step 2: Convert to fraction form
    421,383/921,591 = 921,591/x
  3. Step 3: Cross multiply
    421,383x = 921,591 × 921,591
  4. Step 4: Simplify right side
    421,383x = 849,329,971,281
  5. Step 5: Solve for x
    x = 849,329,971,281/421,383
  6. Step 6: Final answer
    x = 2,015,577.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.