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Finding the Third Proportional to 421,562 and 642,888

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Solution

The third proportional to 421,562 and 642,888 is: 980,413.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,562 : 642,888 = 642,888 : x
  2. Step 2: Convert to fraction form
    421,562/642,888 = 642,888/x
  3. Step 3: Cross multiply
    421,562x = 642,888 × 642,888
  4. Step 4: Simplify right side
    421,562x = 413,304,980,544
  5. Step 5: Solve for x
    x = 413,304,980,544/421,562
  6. Step 6: Final answer
    x = 980,413.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.