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Finding the Third Proportional to 802,107 and 1,783,539

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Solution

The third proportional to 802,107 and 1,783,539 is: 3,965,819.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,107 : 1,783,539 = 1,783,539 : x
  2. Step 2: Convert to fraction form
    802,107/1,783,539 = 1,783,539/x
  3. Step 3: Cross multiply
    802,107x = 1,783,539 × 1,783,539
  4. Step 4: Simplify right side
    802,107x = 3,181,011,364,521
  5. Step 5: Solve for x
    x = 3,181,011,364,521/802,107
  6. Step 6: Final answer
    x = 3,965,819.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.