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Finding the Third Proportional to 421,362 and 921,554

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Solution

The third proportional to 421,362 and 921,554 is: 2,015,515.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,362 : 921,554 = 921,554 : x
  2. Step 2: Convert to fraction form
    421,362/921,554 = 921,554/x
  3. Step 3: Cross multiply
    421,362x = 921,554 × 921,554
  4. Step 4: Simplify right side
    421,362x = 849,261,774,916
  5. Step 5: Solve for x
    x = 849,261,774,916/421,362
  6. Step 6: Final answer
    x = 2,015,515.82

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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.