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Finding the Third Proportional to 210,651 and 438,804

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Solution

The third proportional to 210,651 and 438,804 is: 914,066.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,651 : 438,804 = 438,804 : x
  2. Step 2: Convert to fraction form
    210,651/438,804 = 438,804/x
  3. Step 3: Cross multiply
    210,651x = 438,804 × 438,804
  4. Step 4: Simplify right side
    210,651x = 192,548,950,416
  5. Step 5: Solve for x
    x = 192,548,950,416/210,651
  6. Step 6: Final answer
    x = 914,066.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.