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Finding the Third Proportional to 421,235 and 922,653

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Solution

The third proportional to 421,235 and 922,653 is: 2,020,935.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,235 : 922,653 = 922,653 : x
  2. Step 2: Convert to fraction form
    421,235/922,653 = 922,653/x
  3. Step 3: Cross multiply
    421,235x = 922,653 × 922,653
  4. Step 4: Simplify right side
    421,235x = 851,288,558,409
  5. Step 5: Solve for x
    x = 851,288,558,409/421,235
  6. Step 6: Final answer
    x = 2,020,935.01

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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.