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Finding the Third Proportional to 421,437 and 921,557

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Solution

The third proportional to 421,437 and 921,557 is: 2,015,170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,437 : 921,557 = 921,557 : x
  2. Step 2: Convert to fraction form
    421,437/921,557 = 921,557/x
  3. Step 3: Cross multiply
    421,437x = 921,557 × 921,557
  4. Step 4: Simplify right side
    421,437x = 849,267,304,249
  5. Step 5: Solve for x
    x = 849,267,304,249/421,437
  6. Step 6: Final answer
    x = 2,015,170.25

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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.