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Finding the Third Proportional to 286,670 and 444,787

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Solution

The third proportional to 286,670 and 444,787 is: 690,115.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,670 : 444,787 = 444,787 : x
  2. Step 2: Convert to fraction form
    286,670/444,787 = 444,787/x
  3. Step 3: Cross multiply
    286,670x = 444,787 × 444,787
  4. Step 4: Simplify right side
    286,670x = 197,835,475,369
  5. Step 5: Solve for x
    x = 197,835,475,369/286,670
  6. Step 6: Final answer
    x = 690,115.73

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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.