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Finding the Third Proportional to 421,237 and 922,657

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Solution

The third proportional to 421,237 and 922,657 is: 2,020,942.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,237 : 922,657 = 922,657 : x
  2. Step 2: Convert to fraction form
    421,237/922,657 = 922,657/x
  3. Step 3: Cross multiply
    421,237x = 922,657 × 922,657
  4. Step 4: Simplify right side
    421,237x = 851,295,939,649
  5. Step 5: Solve for x
    x = 851,295,939,649/421,237
  6. Step 6: Final answer
    x = 2,020,942.94

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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.