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Finding the Third Proportional to 370,128 and 792,816

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Solution

The third proportional to 370,128 and 792,816 is: 1,698,215.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,128 : 792,816 = 792,816 : x
  2. Step 2: Convert to fraction form
    370,128/792,816 = 792,816/x
  3. Step 3: Cross multiply
    370,128x = 792,816 × 792,816
  4. Step 4: Simplify right side
    370,128x = 628,557,209,856
  5. Step 5: Solve for x
    x = 628,557,209,856/370,128
  6. Step 6: Final answer
    x = 1,698,215.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.