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Finding the Third Proportional to 989,723 and 2,206,894

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Solution

The third proportional to 989,723 and 2,206,894 is: 4,920,953.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    989,723 : 2,206,894 = 2,206,894 : x
  2. Step 2: Convert to fraction form
    989,723/2,206,894 = 2,206,894/x
  3. Step 3: Cross multiply
    989,723x = 2,206,894 × 2,206,894
  4. Step 4: Simplify right side
    989,723x = 4,870,381,127,236
  5. Step 5: Solve for x
    x = 4,870,381,127,236/989,723
  6. Step 6: Final answer
    x = 4,920,953.77

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.