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Finding the Third Proportional to 205,866 and 445,428

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Solution

The third proportional to 205,866 and 445,428 is: 963,763.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,866 : 445,428 = 445,428 : x
  2. Step 2: Convert to fraction form
    205,866/445,428 = 445,428/x
  3. Step 3: Cross multiply
    205,866x = 445,428 × 445,428
  4. Step 4: Simplify right side
    205,866x = 198,406,103,184
  5. Step 5: Solve for x
    x = 198,406,103,184/205,866
  6. Step 6: Final answer
    x = 963,763.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.