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Finding the Third Proportional to 421,648 and 921,952

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Solution

The third proportional to 421,648 and 921,952 is: 2,015,888.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,648 : 921,952 = 921,952 : x
  2. Step 2: Convert to fraction form
    421,648/921,952 = 921,952/x
  3. Step 3: Cross multiply
    421,648x = 921,952 × 921,952
  4. Step 4: Simplify right side
    421,648x = 849,995,490,304
  5. Step 5: Solve for x
    x = 849,995,490,304/421,648
  6. Step 6: Final answer
    x = 2,015,888.82

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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.