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Finding the Third Proportional to 421,472 and 921,760

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Solution

The third proportional to 421,472 and 921,760 is: 2,015,890.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,472 : 921,760 = 921,760 : x
  2. Step 2: Convert to fraction form
    421,472/921,760 = 921,760/x
  3. Step 3: Cross multiply
    421,472x = 921,760 × 921,760
  4. Step 4: Simplify right side
    421,472x = 849,641,497,600
  5. Step 5: Solve for x
    x = 849,641,497,600/421,472
  6. Step 6: Final answer
    x = 2,015,890.73

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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.