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Finding the Third Proportional to 286,753 and 445,808

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Solution

The third proportional to 286,753 and 445,808 is: 693,086.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,753 : 445,808 = 445,808 : x
  2. Step 2: Convert to fraction form
    286,753/445,808 = 445,808/x
  3. Step 3: Cross multiply
    286,753x = 445,808 × 445,808
  4. Step 4: Simplify right side
    286,753x = 198,744,772,864
  5. Step 5: Solve for x
    x = 198,744,772,864/286,753
  6. Step 6: Final answer
    x = 693,086.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.